Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 8 - Section 8.2 - Graphing Linear Equations - Exercises - Page 303: 8

Answer

(3,1) (0,3) (-3,5)

Work Step by Step

$2x+3y=9$ $2x+3y-2x=9-2x$ $3y=9-2x$ $3y\div3=(9-2x)\div3$ $y=3-\frac{2}{3}x$ if $x=3$ $y=3-\frac{2}{3}(3)=3-2=1$ if $x=0$ $y=3-\frac{2}{3}(0)=3-0=3$ if $x=-3$ $y=3-\frac{2}{3}(-3)=3-(-2)=3+2=5$
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