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 - Page 332: 7

Answer

(3,1)

Work Step by Step

Add the 2 equations. $\ \ x+3y=6$ multiply both sides by -1 $\underline{\ \ x-\ \ y=2}$ $-x-3y=-6$ $\underline{\ \ x-\ \ y\ \ =\ \ 2}$ $\ \ \ \ -4y\ \ \ =-4$ divide both sides by -4 $\ \ \ \ \ \ \ \ \ \ y\ \ \ \ \ \ \ =1$ Substitute and solve for x. $x-y=2$ $x-1=2$ $x-1+1=2+1$ $x=3$
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