Another method for solving systems of equations is elimination

Slides:

Advertisements

Similar presentations

Warm Up Solve each equation for x. 1. y = x y = 3x – 4

Advertisements

Solve an equation with variables on both sides

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

Solving Systems by Elimination

Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.

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.

3.5 Solving systems of equations in 3 variables

Elimination Using Addition and Subtraction. Solving Systems of Equations So far, we have solved systems using graphing and substitution. Solve the system.

Solving Linear Equations

Module 6-3 Objectives Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate method for solving systems of.

Warm Up Simplify each expression. 1. 3x + 2y – 5x – 2y

3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.

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.

Solving Systems of Equations by Elimination (Addition) Section 3.2, Part II.

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.

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

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

Use the substitution method

Solve Linear Systems by Substitution January 28, 2014 Pages

Holt McDougal Algebra Solving Systems by Elimination Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate.

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

Solving Systems by Elimination 5.4 NOTES, DATE ____________.

Objective solve systems of equations using elimination.

Holt Algebra Solving Systems by Elimination 6-3 Solving Systems by Elimination Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.

Solving Systems Using Elimination Section 6-3. Goals Goal To solve systems by adding or subtracting to eliminate a variable. Rubric Level 1 – Know the.

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.

Solving Systems by Elimination

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

Elimination Method Day 1

5.3 Elimination Using Addition and Subtraction

The student will be able to:

Solve for variable 3x = 6 7x = -21

Solving Systems by Elimination

Warm Up Simplify each expression. 1. 3x + 2y – 5x – 2y

Lesson Objectives: I will be able to …

Solving Systems by Elimination

3-2: Solving Systems of Equations using Substitution

Lesson 7-4 part 3 Solving Systems by Elimination

3.5 Solving systems of equations in 3 variables

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

3.2a – Solving Systems algebraically

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

Objectives Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate method for solving systems of linear equations.

Notes Solving a System by Elimination

Notes Solving a System by Elimination

Solving One and Two Step Equations

Solving One Step Equations

Solving Systems of Equations

If you can easily isolate one of the variables,

Activating Prior Knowledge -Simplify each expression.

The student will be able to:

EQ: How do I solve linear systems by elimination?

Solving Equations by 1-2 Adding or Subtracting Warm Up

Solving Systems of Equations

Warm Up Simplify each expression. 1. 3x + 2y – 5x – 2y

3-2: Solving Systems of Equations using Substitution

Solve the linear system.

Activating Prior Knowledge – Simplify each expression.

Solving Systems by Elimination

Example 2B: Solving Linear Systems by Elimination

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

The student will be able to:

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Solving Systems by ELIMINATION

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

Presentation transcript:

Another method for solving systems of equations is elimination Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. To do this by elimination, you add the two equations in the system together.

Solving Systems of Equations by Elimination Step 1 Write the system so that like terms are aligned. Step 2 Eliminate one of the variables and solve for the other variable. Step 3 Substitute the value of the variable into one of the original equations and solve for the other variable. Write the answers from Steps 2 and 3 as an ordered pair, (x, y), and check. Step 4

Example 1: Elimination Using Addition 3x – 4y = 10 Solve by elimination. x + 4y = –2 Write the system so that like terms are aligned. Add the equations to eliminate the y-terms. Simplify and solve for x.

Example 1 Continued Write one of the original equations. Substitute 2 for x. Write the solution as an ordered pair.

Check It Out! Example 2 y + 3x = –2 Solve by elimination. 2y – 3x = 14 Write the system so that like terms are aligned. Add the equations to eliminate the x-terms. Simplify and solve for y.

Check It Out! Example 2 Continued Write one of the original equations. Substitute 4 for y. Write the solution as an ordered pair.

When two equations each contain the same term, you can subtract one equation from the other to solve the system. To subtract an equation add the opposite of each term.

Example 3: Elimination Using Subtraction 2x + y = –5 Solve by elimination. 2x – 5y = 13 2x + y = –5 Add the opposite of each term in the second equation. –(2x – 5y = 13) 2x + y = –5 –2x + 5y = –13 Eliminate the x term. Simplify and solve for y.

Example 3 Continued Write one of the original equations. Substitute –3 for y. Simplify and solve for x. Write the solution as an ordered pair.

Remember to check by substituting your answer into both original equations.

Check It Out! Example 4 3x + 3y = 15 Solve by elimination. –2x + 3y = –5 Add the opposite of each term in the second equation. Eliminate the y term. Simplify and solve for x.

Check It Out! Example 4 Continued Write one of the original equations. Substitute 4 for x. Simplify and solve for y.