## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-6 Systems of Linear Inequalities - Standardized Test Prep - Page 401: 42

#### Answer

a) $x = -9$ b) $y=1/2x+13/2$ c) (-7/5, 29/5)

#### Work Step by Step

a) $2x + y = 3$ $2x + y-2x = 3-2x$ $y = -2x + 3$ $m= -2$ slope of perpendicular line would be $1/2$ $1/2 = rise/run$ $1/2 = (6-2)/(-1-x)$ $1/2*4/4 = 4/(-1-x)$ $4/8 = 4/(-1-x)$ $8 =-1-x$ $8+1 = -1-x+1$ $9 = -x$ $9*-1 = -x*-1$ $-9=x$ b) $y=mx+b$ $6 = m*-1+b$ $6 = 1/2 *-1 + b$ $6 = -1/2+b$ $6+1/2 = -1/2+b+1/2$ $13/2 = b$ $y=1/2x+13/2$ c) $y=1/2x+13/2$ $y=-2x+3$ $1/2x+13/2 = -2x+3$ $2*(1/2x+13/2 = -2x+3)$ $x+13 = -4x+6$ $x+13+4x-13 = -4x+6+4x-13$ $5x = -7$ $5x/5 = -7/5$ $x = -7/5$ $y = -2x+3$ $y = -2*(-7/5)+3$ $y = 14/5 + 3$ $y= 29/5$

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