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Notes 2.4– Solving Equations with Variables on Both Sides
I. Procedure: ELIMINATE Fractions!!! How:MULTIPLY the whole equation by the LCD. Ex. -
2.) SIMPLIFY BOTH sides of the equation. How: Distribute first!! (If needed) then COMBINE like terms on each side of the EQUATION. Ex. -
3.) Get all VARIABLE terms on the SAME SIDE of the equation. How: Choose the variable term on ONE side and add the OPPOSITE of that term to BOTH sides. Ex. -
4.) Get all CONSTANT terms on the OPPOSITE SIDE of the equation. How: Choose the CONSTANT on the SAME side of the variable term and add the OPPOSITE to BOTH sides. Ex. -
5.) SOLVE THE EQUATION for the variable. How: DIVIDE (or multiply) BOTH sides of the equation by the COEFFICIENT of the variable. Ex. -
Solve the following equations: 1) 2) II. Examples
III. Identities and No Solution: Definition: An IDENTITY is and equation that is TRUE for every possible value of the variable. Solve the following equation Ex. -
An equation that has NO SOULTION if there is no value for the variable that makes the equation TRUE. Solve the following equation Ex. -
Homework : Section 2.4pages 114-116 #’s 6-8, 10-22 even, 30-34 even, 39
Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.
To Start: 10 Points.
Lesson 2-4. Many equations contain variables on each side. To solve these equations, FIRST use addition and subtraction to write an equivalent equation.
Step 1: Simplify Both Sides, if possible Distribute Combine like terms Step 2: Move the variable to one side Add or Subtract Like Term Step 3: Solve for.
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. SOL: A.4df Objectives The student will be able to: Designed.
The student will be able to: solve equations with variables on both sides. Equations with Variables on Both Sides Objectives Designed by Skip Tyler, Varina.
The Multiplication Principle of Equality 2.3a 1.Solve linear equations using the multiplication principle. 2.Solve linear equations using both the addition.
3.3 Equations w/ Variables on both sides. 3.3 – Eq. w/ Variables on both sides Goals / “I can…” Solve equations with variables on both sides Identify.
SOLVING SYSTEMS ALGEBRAICALLY SECTION 3-2. SOLVING BY SUBSTITUTION 1) 3x + 4y = 12 STEP 1 : SOLVE ONE EQUATION FOR ONE OF THE VARIABLES 2) 2x + y = 10.
Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.
Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.
6.6 DAY 2: More Elimination. 1. Line terms up vertically 2. Make sure one of the variables has opposite coefficients (Today, it is by multiplying…Like.
1. solve equations with variables on both sides. 2. solve equations with either infinite solutions or no solution Objectives The student will be able to:
ANSWER is 25% of what number ANSWER 40% 4.What percent of 90 is 36? ANSWER d = 4 ANSWER x = Solve:
EXAMPLE 2 Solving an Equation Involving Decimals 1.4x – x = 0.21 Original equation. (1.4x – x)100 = (0.21)100 Multiply each side by 100.
Solving Systems by Elimination 5.4 NOTES, DATE ____________.
Notes 3.4 – SOLVING MULTI-STEP INEQUALITIES
6-2 Solving Systems Using Substitution Hubarth Algebra.
Solving Equations with Variables on Both Sides. Review O Suppose you want to solve -4m m = -3 What would you do as your first step? Explain.
Equations with Variables on Both Sides Chapter 3 Section 3.
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