Elementary Technical Mathematics

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

Chapter 9 - Section 9.2 - Solving Pairs of Linear Equations by Addition - Exercises: 12

Answer

(7,-6)

Work Step by Step

Add the 2 equations. $\ \ 6x+7y=0$ $\underline{\ \ 2x-3y=32}$ multiply both sides by -3 $\ \ \ \ \ \ 6x+7y=\ \ \ \ 0$ $\underline{\ \ -6x+9y=-96}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ 16y\ =-96$ divide both sides by 16 $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y\ \ =-6$ Substitute and solve for x. $6x+7(-6)=0$ $6x-42+42=0+42$ $6x\div6=42\div6$ $x=7$
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