20 5 Check 5v – 12 = 8 5(4) – 12 8Replace v with 4. 20 – 12 8Multiply. 8 = 8Simplify. Quick Check 7-1 Solve 7 – 3b = 1. Solving **Two**-**Step** **Equations** PRE-ALGEBRA LESSON 7-1 7 – 3b = 1 –7 + 7 – 3b = –7 + 1 Add –7 to each side. 0 – 3b = –6Simplify. –3b = –60 –/the balance is paid off. To find how many weeks w it will take you to pay for the bicycle, solve 100 + 25w = 350. Solving **Two**-**Step** **Equations** PRE-ALGEBRA LESSON 7-1 It will take you 10 weeks to pay for the bicycle. 100 + 25w = 350 100 + 25w – 100 = 350/

8x - 4 TOC What is the discriminant? How many roots? Answers: Discriminant is + **Two** roots 02/11/12 lntaylor © Finding the Roots TOC 02/11/12 lntaylor © Roots of a Quadratic **Equation** Definition Factor Roots are x intercepts Factoring is the quickest way to finding the roots CTSCompleting/one! f(x) = -2x² + 3x - 15 TOC 02/11/12 lntaylor © -2x² - 3x - 15 **Step** 1 Write down a, b, -b and c **Step** 2 Write down the formula **Step** 3 Set up the **equation** to solve Watch your signs!!!! a = -2 b = -3 -b = 3 c = -15 ______ -b /

! October 29th (p. 13) Objective: Students will be able to identify which kinematic **equation** to apply in each situation Bell Ringer: Let’s say **two** people are racing: The first person has a large initial velocity (20 m/s) but/time interval? Solving Kinematics Problems **Step** 1: Read the Problem, underline key quantities **Step** 2: Assign key quantities a variable **Step** 3: Identify the missing variable **Step** 4: Choose the pertinent **equation**: **Step** 5: Solve for the missing variable. **Step** 6: Substitute and solve. /

solving simultaneous **equation** of **two** variables by elimination method. 3.Solve simple **equations** Straight Lines Nat 5 www.mathsrevision.com Simultaneous **Equations** Nat 5 Straight Lines 18-Oct-15Created by Mr. Lafferty Maths Department Example 1 Solve the **equations** x + 2y = 14 x + y = 9 by elimination www.mathsrevision.com Simultaneous **Equations** Nat 5 Straight Lines 18-Oct-15Created by Mr. Lafferty Maths Department **Step** 1: Label/

both sides by 7 to undo the division. n = 0 Holt Algebra 1 2-3 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve. Example 2A: Solving **Two**-**Step** **Equations** That Contain Fractions Since y is divided by 8, multiply both sides by 8 to undo the division/ both sides by 3 to undo the multiplication. 3y = 32 Holt Algebra 1 2-3 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve. Example 2B: Solving **Two**-**Step** **Equations** That Contain Fractions Method 1 Use fraction operations. Since is added to r, subtract from both sides/

**Equations** and Matrices 2.1 Systems of Linear **Equations**: An Introduction Systems of **Equations** Recall that a system of **two** linear **equations** in **two** /**equations**: **Steps** expressed as augmented matrices: Row Reduced Form of the Matrix Toggle slides back and forth to compare before and changes Example 2, page 78 Row-Reduced Form of a Matrix Each row consisting entirely of zeros lies below all rows having nonzero entries. The first nonzero entry in each nonzero row is 1 (called a leading 1). In any **two**/

are 25 0 and 65 0. If we check our solution we get 25 + 65 = 90 and that 65 = 2(25) + 15 **Step** 3 **Step** 4 Page | 21 Olympic College Topic 15 Solving System of Linear **Equations** Example 2: y x **Two** Complimentary angles have the property that the larger angle is 15 more than twice the smaller angle. What are the sizes of/

=2z2z+y+x -18=3z3z–-x-x 16=z+2y2y+x -34=4z4z–2y2y–-2x **Equation** 2 **Equation** 3 **Equation** 4 **Equation** 4 and the given **Equation** 1 provide us with a system of **two** **equations** in **two** variables. Text Example Solution **Step** 2 Solve the resulting system of **two** **equations** in **two** variables. We will solve **Equations** 1 and 4 for x and z. Add: 5=z -10=-2z -18=3z3z–-x/

follow the order of operations in reverse when solving **equations** that have more than one operation. Course 2 12-1 Solving **Two**-**Step** **Equations** Learn to solve **two**-**step** **equations**. Course 2 12-1 Solving **Two**-**Step** **Equations** Write down the directions to get to Pope High/ 6 48 ?=?= ?=?= ?=?= 42 + 6 48 48 Substitute 6 for c. 6 is a solution. Course 2 12-1 Solving **Two**-**Step** **Equations** Solve. Additional Example 2A: Solving **Two**-**Step** **Equations** Using Multiplication 6 + y5y5 = 21 y5y5 6 + – 6 –6 y5y5 = 15 y5y5 = (5)15(5) y =/

the multiplication. 7.2 = 1.2y 1.2 6 = y Holt McDougal Algebra 1 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve. Example 2A: Solving **Two**-**Step** **Equations** That Contain Fractions Since y is divided by 8, multiply both sides by 8 to undo the /divide both sides by 3 to undo the multiplication. 3y = 32 Holt McDougal Algebra 1 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve. Example 2B: Solving **Two**-**Step** **Equations** That Contain Fractions Method 1 Use fraction operations. Since is added to r, subtract from both sides/

labor would be $275 + $574 = $849. Look Back4 Try This: Example 1 Continued Pre-Algebra 10-1 Solving **Two**-**Step** **Equations** Additional Example 2A: Solving **Two**-**Step** **Equations** A. + 7 = 22 Solve. Think: First the variable is divided by 3, and then 7 is added. To isolate/.3m Divide to undo multiplication. –2 = m –2.3 4.6 = –2.3m Pre-Algebra 10-1 Solving **Two**-**Step** **Equations** Additional Example 2C: Solving **Two**-**Step** **Equations** C. = 9 y – 4 3 Think: First 4 is subtracted from the variable, and then the result is divided/

solve a **two**-**step** **equation** and use deductive reasoning to justify the **steps**? Guided Practice How do we solve a **two**-**step** **equation** and use deductive reasoning to justify the **steps**? Guided Practice How do we solve a **two**-**step** **equation** and use deductive reasoning to justify the **steps**? Independent Practice How do we solve a **two**-**step** **equation** and use deductive reasoning to justify the **steps**? Independent Practice How do we solve a **two**-**step** **equation** and use/

rights reserved EXAMPLE 6 The Elimination Method EXAMPLE Solve the system. 2. 29 © 2010 Pearson Education, Inc. All rights reserved OBJECTIVE Solve a system of **two** linear **equations** by first eliminating one variable. **Step** 3 Solve the resulting **equation**. 29 © 2010 Pearson Education, Inc. All rights reserved EXAMPLE 6 The Elimination Method EXAMPLE Solve the system. 3. 30 © 2010 Pearson Education, Inc. All rights/

Eliminate a variable. Use the elimination method to eliminate any variable from any **two** of the original **equations**. The result is an **equation** in **two** variables. **Step** 2 Eliminate the same variable again. Eliminate the same variable from any other **two** **equations**. The result is an **equation** in the same **two** variables as in **Step** 1. **Step** 3 Eliminate a different variable and solve. Use the elimination method to eliminate a/

unknown values, using diagrams or tables as needed. Write down what each variable represents. **Step** 3: Write **two** **equations** using both variables. **Step** 5: State the answer to the problem. Is the answer reasonable? **Step** 4: Solve the system of **two** **equations**. **Step** 6: Check the answer in the words of the original problem. **Two** top-grossing Disney movies in 2002 were Lilo and Stitch and The Santa Clause/

. In other words, find the zeros of the related function. Recall that a quadratic function may have **two**, one, or no zeros. 9-4 Solving Quadratic **Equations** by Graphing Additional Example 1A: Solving Quadratic **Equations** by Graphing Solve the **equation** by graphing the related function. 2x 2 – 18 = 0 **Step** 1 Write the related function. 2x 2 – 18 = y, or y = 2x 2 + 0x – 18/

. 4. Check your answer. 5. Determine which variable to eliminate. 6. Put the **equations** in standard form. Find **two** numbers whose sum is 18 and whose difference 22. 20 and -2 Solving Systems of **Equations** So far, we have solved systems using graphing, and elimination. These notes go one **step** further and show how to use ELIMINATION with multiplication. What happens when the coefficients/

the solution set. Slide 4.1- 22 Solve linear systems (with **two** **equations** and **two** variables) by elimination. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solve the system. **Step** 1 Both **equations** are in standard form. **Step** 2 Select a variable to eliminate, say y. Multiply **equation** (1) by 7 and **equation** (2) by 3. **Step** 3 Add. **Step** 4 Solve for x. Slide 4.1- 23 CLASSROOM EXAMPLE 7/

9) = 30 5. x – (12 – x) = 38 6. –8 4 19 25 9 Holt Algebra 1 2-3 Solving **Two**-**Step** and Multi-**Step** **Equations** **Equations** that are more complicated may have to be simplified before they can be solved. You may have to use the Distributive Property or combine like/12 months was $735.95. How much was the monthly fee? Example 16 Holt Algebra 1 2-3 Solving **Two**-**Step** and Multi-**Step** **Equations** Example 16 Continued 1 Understand the Problem The answer will the monthly membership fee. List the important information: Sara paid/

**equation** is... r = k [RX][OH - ]SECOND ORDER This is because both the RX and OH - must collide for a reaction to take place in ONE **STEP** but with others it only depends on [RX]... r = k [RX]FIRST ORDER The reaction has taken place in **TWO** **STEPS**/... - the first involves breaking an R-X bondi) RX R + + X - Slow - the second **step** involves the **two** ions joiningii) R + + OH - ROH Fast The first **step** is slower as it involves bond breaking and energy has to/

and work backward to undo them one at a time. Holt McDougal Algebra 1 1-4 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve 18 = 4a + 10. Example 1A: Solving **Two**-**Step** **Equations** First a is multiplied by 4. Then 10 is added. Work backward: Subtract 10 from both / sides by 7 to undo the division. n = 0 Holt McDougal Algebra 1 1-4 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve. Example 2A: Solving **Two**-**Step** **Equations** That Contain Fractions Since y is divided by 8, multiply both sides by 8 to undo the division/

. y = 20x + 100 y = 30x + 80 y = 20x + 100 y = 30x + 80 The accounts will have the same balance. The graphs of the **two** **equations** have different slopes so they intersect. 6.4Optional HW pg. 423 6.4- – Day 1: 2-7, 15, 19, 39-43 (Odd) – Day 2: 8-11/earning more than $125 in one week. Answers must be whole numbers because he cannot work a portion of a job. **Step** 4 List the **two** possible combinations. **Two** possible combinations are: 7 mowing and 4 raking jobs 8 mowing and 1 raking jobs Solutions 6.6 At her party, /

of either x or y have the same absolute value. **Step** 3 Either add or subtract the **two** **equations** so that one of the variables is eliminated. **Step** 4 Solve the resulting single-variable **equation** for the variable. **Step** 5 Substitute the value of the variable from **Step** 4 into either of the original **equations**, and solve for the other variable. Copyright © 2015 The McGraw-Hill Companies, Inc/

both sides by 7 to undo the division. n = 0 Holt Algebra 1 2-3 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve. Example 2A: Solving **Two**-**Step** **Equations** That Contain Fractions Since y is divided by 8, multiply both sides by 8 to undo the division/ both sides by 3 to undo the multiplication. 3y = 32 Holt Algebra 1 2-3 Solving **Two**-**Step** and Multi-**Step** **Equations** Solve. Example 2B: Solving **Two**-**Step** **Equations** That Contain Fractions Method 1 Use fraction operations. Since is added to r, subtract from both sides/

will learn how to solve and model problems with 2-**step** **equations**. Model **Two**-**Step** **Equations**: All Boys: use simple drawings (t-shirt, sunglasses and $19) + + = $19 $5.00 Solve **Two**-**Step** **Equations** ax + b = c Student Outcome: I will learn how to solve and model problems with 2-**step** **equations**. Model **Two**-**Step** **Equations**: All Girls: use the balance scale SS Solve **Two**-**Step** **Equations** ax + b = c Student Outcome: I will learn how to/

solution set is written as {(x, y) | ax + by = c}, where ax + by = c is either one of the **two** **equations**. EXAMPLE 2 Identifying an Inconsistent System Graphically Solve the system graphically: EXAMPLE 2 Identifying an Inconsistent System Graphically SOLUTION **Step** 1 Graph both **equations**. **Step** 2 Find the point or points of intersection. In this case, the lines are parallel, and never intersect. The/

35 Copyright © 2004 Pearson Education, Inc. Multiplication of Complex Numbers For complex numbers a + bi and c + di, The product of **two** complex numbers is found by multiplying as if the numbers were binomials and using the fact that i 2 = 1. Slide 1-36/+ bc + c, , or .) Solving a Quadratic Inequality **Step** 1Solve the corresponding quadratic **equation**. **Step** 2Identify the intervals determined by the solutions of the **equation**. **Step** 3Use a test value from each interval to determine which intervals form /

consistent. If there is no solution, stop; otherwise, go to the next **step**. 3.Continue row reduction to obtain the reduced echelon form. 4.Write the system of **equations** corresponding to the matrix obtained in **step** 3. Slide 1.2- 53 © 2012 Pearson Education, Inc. ROW /, then it is a (trivial) linear combination of the other vectors in S. Slide 1.7- 144 © 2012 Pearson Education, Inc. SETS OF **TWO** OR MORE VECTORS Otherwise,, and there exist weights c 1, …, c p, not all zero, such that. Let j be the largest /

Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Nitrogen is already balanced. Add **two** molecules of H 2 O on the right to balance the oxygen. Four hydrogen ions must be added to the left to balance hydrogen. Balancing Redox **Equations** Using Half-Reactions **Step** 3: Balance the atoms in the half- reactions. b.Balance the reduction half-reaction. 4H + (aq/

of mathematics that converts problems of calculus to algebraic problems is known as operational calculus. The Laplace transform method has **two** main advantages over the methods discussed in Chaps. 1–4: I. Problems are solved more directly: Initial value/y(t) is the output (response to the input) to be obtained. In Laplace’s method we do three **steps**: Differential **Equations**, Initial Value Problems 6.2 Transforms of Derivatives and Integrals. ODEs Advanced Engineering Mathematics, 10/e by Edwin Kreyszig /

the variable. 2) Cancel by doing the opposite operation. 3) Do the same thing to both sides. -2 10 x 3x - 2 = 10 xx One **Step** & **Two** **Step** **Equations** ___________________________________________________ __________ Algebra 1 – Solving **Equations** - Math is Hip ™ A **Two**-**Step** **Equation** has **two** operations to perform, however, the overall process is the same. Remember : 1) Seek to Isolate the variable. 2) Cancel by doing the opposite operation. 3/

is consistent, and the **equations** are independent. Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 19 Solution EXAMPLE Determining purchases **Step** 1: Identify each variable. Suppose that **two** groups of students go/= 25 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 20 **Step** 3A: Solve the system of linear **equations**. 4x + 2y = 14 EXAMPLE continued **Step** 3A: Solve the system of linear **equations**. 4x + 2y = 14 5x + 5y = 25 Solve the first one for/

unknown quantities. n + (n + 1) + (n + 2) = 126 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 29 **Step** 3: Solve the **equation** in **Step** 2. EXAMPLE continued **Step** 3: Solve the **equation** in **Step** 2. n + (n + 1) + (n + 2) = 126 (n + n + n) + (1 + 2) = 126 3n + /third of the largest angle. Find the measure of each angle. Solution Let x represent the measure of each of the **two** smaller angles. Then the measure of the largest angle is 3x, and the sum of the measures of the three /

x 1 mol NaCl = 0.061 mol NaCl 58.44 g NaCl Convert 25.0 mL to 0.0250 L and substitute these **two** quantities into the defining **equation** for molarity. Molarity = 0.0611 mol NaCl = 2.44 M NaCl l0.0250 L solution We read this as 2.44 molar/3. 6e- + Cr2O72- + 14H+ 2Cr3+ + 7H2O 3(HNO2 + H2O NO3- + 3H+ + 2e-) 3HNO2 + 3H2O 3NO3- + 9H+ + 6e- **Step** #7: Add the 2 half-reactions. 3 H2O in 2nd half-reaction cancel 3 of 7 H2O in 1st half-reaction to yield 4 H2O on the right of the/

each person have? Ana, $96; Ben, $48; Clio, $16 Learn to solve multi-**step** **equations**. To solve a multi-**step** **equation**, you may have to simplify the **equation** first by combining like terms. Additional Example 1: Solving **Equations** That Contain Like Terms Solve. 8x + 6 + 3x – 2 = 37 11x + 4 /day? Round your answer to the nearest tenth of a mile. David’s average speed is his combined speeds for the **two** days divided by 2. Day 1 speed Day 2 speed + 2 = average speed Additional Example 3 Continued Substitute for Day/

28 + 7 Add 7 to both sides. -5n = 35 Divide both sides by -5. -5 -5 n = -7 Example 2 : Solving **Two**-**Step** **Equations** Solve + 7 = 22 ***Work backwards to isolate the variable. Think: First the variable is divided by 3, and then 7 is added. To isolate /4 Subtract 8 from both sides. 4 = 4 10 n4 Multiply both sides by 4. n = 40 Example 3: Solving **Two**-**Step** **Equations** y – 4 3 Solve = 9 ***Multiply both sides of the **equation** by the denominator. = 9 y – 4 3 = 9 y – 4 3 (3) (3) Multiply both sides by the denominator/

.6 x = 34 y 15 y = 225 z = 121 w = 19.5 Extension of AF4.1 Solve **two**-**step** linear **equations** and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose/Standards A multi-**step** **equation** requires more than **two** **steps** to solve A multi-**step** **equation** requires more than **two** **steps** to solve. To solve a multi-**step** **equation**, you may have to simplify the **equation** first by combining like terms. Additional Example 1: Solving **Equations** That Contain Like/

36Finish 22 x = 18 Option 2: Multiply by the reciprocal ____ 1 x = 18 BoardAnswer Solve: 2x + 3 = 5 Solve **Two** **Step** **Equations** - 100 Board Solve **Two** **Step** **Equations** - 100 Solve: 2x + 3 = 5 Algebra Tiles 2x + 3 = 5 Get rid of 3 yellows Both sides Cancel Algebra 2x /27 Option 2: Multiply by the reciprocal at the end ____ 1 x = -27 3 – 18 – 6 BoardAnswer Solve **Two** **Step** **Equations** - 500 Board Solve **Two** **Step** **Equations** - 500 No Algebra Tiles here Get rid of fractions by multiplying by LCD ____ 6 6 6 6 4x+ 3= -/

cookies for every oatmeal cookie they sell. One day, the company sold 546 of these **two** types of cookies combined. How many of each were sold? **Step** 3Write an **equation**. EXAMPLE 3 Analyzing the Number of Cookies Sold The number of oatmeal cookies += total number/ every oatmeal cookie they sell. One day, the company sold 546 of these **two** types of cookies combined. How many of each were sold? EXAMPLE 3 Analyzing the Number of Cookies Sold **Step** 4Solve the **equation**. x + 12x = 546 x = 42 Divide by 13. 13x = /

Write a system of **equations** using the variable expressions. **Step** 4 Solve the system of **equations**. **Step** 5 State the answer to the problem. Label it appropriately. Does it seem reasonable? **Step** 6 Check the answer in the words of the original problem. Slide 8.5- 3 Solve geometry problems by using **two** variables. Objective 1 Solve geometry problems by using **two** variables. Slide 8.5- 4/

not possible as outcomes. A series of points that are NOT connected. Piece-wise Functions The function is defined by **two** or more **equations**. Each piece of the function has a different **equation**. **Step** Functions A discrete function with horizontal lines that appear like **steps** going up or down the y axis. Finite Functions The function is BOUNDED The function has a distinct domain and/

infinitely many solutions Solving Linear Systems by Linear Combinations Objectives Key Words Solve a system of linear **equations** in **two** variables by the linear combination method EC: Choosing a Method Linear combination method Prerequisite Check: If/ linear combination method. Example 2 Multiply Both **Equations** Solve the system using the linear combination method. 22 12y 7x = – **Equation** 1 14 8y 5x = + – **Equation** 2 SOLUTION **STEP** 1 Multiply the first **equation** by 2 and the second **equation** by 3. 22 12y 7x = – 14/

intersect in only one point, so there is exactly one solution. The solution is x = – 1 Example 3 Continued Method 2 Use algebra to solve the **equation**. **Step** 1 Solve for x. Square both sides. –3x + 33 = 25 – 10x + x2 Simplify. 0 = x2 – 7x – 8 Write in standard / = and Y2 = –x +4. The graphs intersect in **two** points, so there are **two** solutions. The solutions are x = –4 and x = 3. Check It Out! Example 3b Continued Method 2 Use algebra to solve the **equation**. **Step** 1 Solve for x. Square both sides. Simplify. –9x +/

of flats depends on the number of storeys high the flats are. For one storey 27 doors are needed. If the building is **two**-storied there are 51 doors needed; three-storied, 75 doors; four-storied, 99 doors and so on. If a block of/ scroll to each question using the next arrow (below). Click to move from **step** to **step** in the solution. Q1. Expand the **equations** Find the rule Solve the **equation** Q2. Factorise the **equations** Find the surface area Solve the **equations** Q3. Q4. << figure Ch01.11>> Q5. Q6. Q7. Next Back to/

been used yet) and the elimination method to wipe out x’s. We have created another **equation** with the same **two** variables ( y and z) Now take these **two** new **equations** (in **two** variables) and eliminate another variable Copyright © 2011 Lynda Aguirre10 Eliminating **Two** Variables **Step** 4: Now use these **two** **equations** and either substitution or elimination to wipe out one of the remaining variables (y or z). My/

Reactant Side Product Side O 1 2 Place a 2 in front of HgO to balance O. There are **two** oxygen atoms on the reactant side and there are **two** oxygen atoms on the product side. Oxygen (O) is balanced. **Step** 3c Balance the **equation**. Check all other elements after each individual element is balanced to see whether, in balancing one element, another element/

atom is oxidized by one electron. Solve: **Step** 2: We divide the **equation** into **two** half-reactions: **Step** 3: We balance each half-reaction. In the first half-reaction the presence of one Cr2O72– among the reactants requires **two** Cr3+ among the products. The seven oxygen /the electrons to cancel when the half-reactions are added: **Step** 5: The **equations** are added to give the balanced **equation**: **Steps** 6 and 7: There are equal numbers of atoms of each kind on the **two** sides of the **equation** (14 H, 2 Cr, 7 O, 6 Cl/

**equations** in **two** variables are similar to linear **equations** in **two** variables in that there is an infinite number of solutions. The **two** variables and the **equations** that they are in describe a relationship between those **two** variables. Exponential **equations** are **equations** that have the variable in the exponent. This means the final values of the **equation**/“OK.” 1.3.2: Creating and Graphing Exponential **Equations** Guided Practice: Example 3, continued **Step** 10: Press [enter]. **Step** 11: Press [menu] and select 2: View /

26 12 Possible answer: 6 Possible answer: 20 2-2 Solving **Two**-**Step** **Equations** Preparation for 5.0 Students solve multistep problems, including word problems, involving linear **equations** and linear inequalities in one variable and provide justification for each **step**. California Standards 2-2 Solving **Two**-**Step** **Equations** equivalent **equations** Vocabulary 2-2 Solving **Two**-**Step** **Equations** Additional Example 1A: Solving **Two**-**Step** **Equations** Solve 18 = 4a + 10. 18 = 4a + 10 First a is multiplied/

both sides by 7 to undo the division. n = 0 Method 1 Use fraction operations. Additional Example 2A: Solving **Two**-**Step** **Equations** That Contain Fractions Solve . Method 1 Use fraction operations. Since is subtracted from , add to both sides to undo /fraction operations. Multiply both sides by 8. Simplify. y = 16 Method 1 Use fraction operations. Additional Example 2B: Solving **Two**-**Step** **Equations** That Contain Fractions Solve . Method 1 Use fraction operations. Since is added to r, subtract from both sides to undo/

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