Algebra II Workbook - Wayne County Public Schools

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LESSON 2.8 CONTINUED NAME _________________________________________________________ DATE ____________ Practice with Examples For use with pages 122–128 Exercises for Example 2 Write an equation of the graph shown. 7. y 1 1 x 8. y 1 1 x Chapter 2 9. y 1 1 x Copyright © McDougal Littell Inc. All rights reserved. Algebra 2 45 Practice Workbook with Examples
LESSON 3.1 Practice with Examples For use with pages 139–145 NAME _________________________________________________________ DATE ____________ GOAL Graph and solve systems of linear equations in two variables VOCABULARY A system of two linear equations in two variables x and y consists of two equations, Ax By C and Dx Ey F. A solution of a system of linear equations in two variables is an ordered pair x, y that satisfies both equations. EXAMPLE 1 Solving a System Graphically Solve the system. x y 1 2x y 4 Equation 1 Equation 2 Chapter 3 SOLUTION Begin by writing each equation in slope-intercept form. y x 1 y 2x 4 Equation 1 Equation 2 Then sketch the graph of each equation. From the graph, the lines appear to intersect at 1, 2. To algebraically check this, substitute 1 for x and 2 for y into each of the original equations. 1 2 1 ✓ Equation 1 checks. 21 2 4 ✓ Equation 2 checks. The solution is 1, 2. Exercises for Example 2 Graph the linear system and estimate the solution. Then check the solution algebraically. 1. x 2y 4 2. y 3x 6 3. 2x y 4 y x 4 2x 3y 3 (1, 2) 1 y 3 y y x 1 1 x y 2x 4 46 Algebra 2 Practice Workbook with Examples Copyright © McDougal Littell Inc. All rights reserved.
Page 1 and 2: Algebra 2 LARSON BOSWELL KANOLD STI
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Algebra II Workbook - Wayne County Public Schools

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