Solving Systems of Equations Using Algebra Revisited

Slides:

Advertisements

Similar presentations

4.3 Systems of Equations - Elimination Objective: The student will be able to: Solve systems of equations using elimination with addition and subtraction.

Advertisements

Solving a System of Equations by ELIMINATION. Elimination Solving systems by Elimination: 1.Line up like terms in standard form x + y = # (you may have.

Drill Solve the linear system by substitution. 1.y = 6x – 11 -2x – 3y = x + y = 6 -5x – y = 21.

3.5 Solving systems of equations in 3 variables

Algebra II w/ trig. Substitution Method: 1. Solve an equation for x or y 2. Substitute your result from step 1 into the other equation and solve for the.

Bell Work2/12/15 Solve the system by elimination..

Solving Systems of Linear Equations By Elimination

Solving Systems of Linear Equations

Solving Systems of Equations

Solve Systems of Linear Equations Using Elimination Honors Math – Grade 8.

Goal: Solve a system of linear equations in two variables by the linear combination method.

Solving a System of Equations in Two Variables By Elimination Chapter 8.3.

Bell Ringer 2x – 3y = 4 5x + 3y = 10. HW Check Check elimination part 1 practice.

Another method for solving systems of equations is elimination

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.

3-2 Day 2 Solving Systems Algebraically: Elimination Method Objective: I can solve a system of equations using the elimination method.

Solving by Substitution Method or Elimination (Addition) Method

Notes – 2/13 Addition Method of solving a System of Equations Also called the Elimination Method.

Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.

Unit 1.3 USE YOUR CALCULATOR!!! MM3A5c. Unit 1 – Algebra: Linear Systems, Matrices, & Vertex- Edge Graphs  1.3 – Solve Linear Systems Algebraically 

Do Now (3x + y) – (2x + y) 4(2x + 3y) – (8x – y)

Lesson 7.4A Solving Linear Systems Using Elimination.

Section 3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method.

Solving Systems of Equations So far, we have solved systems using graphing and substitution. These notes show how to solve the system algebraically using.

Solve Systems of Equations Using Elimination Section 6.3.

SOLVING SYSTEMS USING ELIMINATION 6-3. Solve the linear system using elimination. 5x – 6y = -32 3x + 6y = 48 (2, 7)

Multiply one equation, then add

3-2 Solving Systems Algebraically. In addition to graphing, which we looked at earlier, we will explore two other methods of solving systems of equations.

Solving Systems by Elimination 5.4 NOTES, DATE ____________.

EXAMPLE 4 Solve linear systems with many or no solutions Solve the linear system. a.x – 2y = 4 3x – 6y = 8 b.4x – 10y = 8 – 14x + 35y = – 28 SOLUTION a.

7-3: Solving Systems of Equations using Elimination

Systems of Equations By Substitution and Elimination.

Task 2.6 Solving Systems of Equations. Solving Systems using Substitution  Solve using Substitution if one variable is isolated!!!  Substitute the isolated.

3-2: Solving Linear Systems. Solving Linear Systems There are two methods of solving a system of equations algebraically: Elimination Substitution.

3-2: Solving Systems of Equations using Elimination

SECTION 3.2 SOLVING LINEAR SYSTEMS ALGEBRAICALLY Advanced Algebra Notes.

WARM-UP. SYSTEMS OF EQUATIONS: ELIMINATION 1)Rewrite each equation in standard form, eliminating fraction coefficients. 2)If necessary, multiply one.

Elimination Method - Systems. Elimination Method  With the elimination method, you create like terms that add to zero.

Solving a System of Equations by ELIMINATION. Elimination Solving systems by Elimination: 1.Line up like terms in standard form x + y = # (you may have.

December 12, 2011 By the end of today: I will know how to solve systems by elimination.

Objective 7.3 To solve systems of equations using elimination with addition and subtraction.

Solve Linear Systems By Multiplying First

6) x + 2y = 2 x – 4y = 14.

Objective I can solve systems of equations using elimination with addition and subtraction.

5.3 Elimination Using Addition and Subtraction

Solve Systems of Equations by Elimination

Solving Systems of Linear Equations in 3 Variables.

Solving By Substitution

3-2: Solving Linear Systems

Solving Linear Systems Algebraically

6-3 Solving Systems Using Elimination

Solving Systems Using Elimination

3.5 Solving systems of equations in 3 variables

Solving Linear Systems

Lesson 7.1 How do you solve systems of linear equations by graphing?

Before: December 4, 2017 Solve each system by substitution. Steps:

Solving Systems of Equations

3-2: Solving Linear Systems

Solving Systems of Linear Equations in 3 Variables.

Solving Systems of Equations

Solve the linear system.

3-2: Solving Linear Systems

Example 2B: Solving Linear Systems by Elimination

The student will be able to:

3-2: Solving Linear Systems

Solving Systems by ELIMINATION

The Substitution Method

Systems of three equations with three variables are often called 3-by-3 systems. In general, to find a single solution to any system of equations,

Step 1: Put the equations in Standard Form. Standard Form: Ax + By = C

Presentation transcript:

Solving Systems of Equations Using Algebra Revisited

There Are Two Methods for Solving Algebraically Substitution: Substitute for one of the variables Elimination: Eliminate one of the variables

Substitution Must be in the form y = or x = Substitute the x or y value into the other equation and solve for the remaining variable. Finally, substitute the value found into either equation Write final answer as a coordinate point.

Elimination Equations must be in standard form ax + by = c Multiply one or both equations to get a common coefficient for one variable in both equations Add or subtract the equations to eliminate a variable. Solve for the remaining variable Substitute that value into either of the original equations Write the solution as a coordinate point

Example - Substitution 3y - 2x = 11 y + 2x = 9

Example - Elimination 3y - 2x = 11 y + 2x = 9

Shoulder partner A will solve by substitution, partner B will solve by elimination 2x – 3y = –2 4x + y = 24

Shoulder partner A will solve by elimination, partner B will solve by substitution 3x + 5y = 10 y = x + 2

Write the Equation Together Suppose you bought supplies for a party. Three rolls of streamers and 15 party hats cost $30. Later, you bought 2 rolls of streamers and 4 party hats for $11. How much did each roll of streamers cost? How much did each party hat cost? Partner A solves by substitution, partner B solves by elimination

Write the Equation Together At The Apple Pan, 4 burgers and 3 fries cost $26.50. 5 burgers and 5 fries cost $36.25. What is the cost for each item? Partner A solves by elimination, partner B solves by substitution

Solve Using Your Method of Choice On December 13th, versus the Washington Wizards, Shaquille O’Neal scored his season high in points, 40. His 40 points were scored all on free throws and two‐point baskets. He made a total of 25 shots. How many two‐points baskets did Shaq make? Define variables, write and solve algebraic equations, and state the final answer in a complete sentence.

Solve Using Your Method of Choice At McDonald’s four cheeseburgers and three medium fries have a total of 2290 calories. Six cheeseburgers and two medium fries have 2560 calories. How many calories does each item contain?