## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Lesson Check - Page 363: 2

#### Answer

$x = 2$ $y = 3$

#### Work Step by Step

#1 The 2 equation is $-x + 2y = 4$ $y = x + 1$ #2 Substitute one equation into 2nd equation solve for X. $-x + 2y = 4$ $-x + 2\times(x+1) = 4$ $-x + 2x + 2 = 4$ $....... .-2..-2$ $-x + 2x = 2$ $x = 2$ #3 Solve for Y Substitute x into one of the equation. $y = x + 1$ $y = 2 + 1$ $y = 3$ #4 $x = 2$ $y = 3$

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