Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-4 Multiplying Special Cases - Standardized Test Prep - Page 497: 61

Answer

Graph:

Work Step by Step

First put the equations in slope-intercept form: $5x+4y$$\geq$$20$ Subtract $5x$ form both sides of the inequality to get $4y$$\geq$$-5x+20$ Divide 4 on both sides of the inequality to get $y$$\geq$$\frac{-5}{4}x+5$ $5x+4y$$\leq$$20$ Subtract $5x$ form both sides of the inequality to get $4y$$\leq$$-5x+20$ Divide 4 on both sides of the inequality to get $y$$\leq$$\frac{-5}{4}x+5$ The graphs intersect at the line $y=-$$\frac{5}{4}$$x$$+5$. All points on this line are solutions to this system of inequalities.
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