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: 5

Answer

(-2,7)

Work Step by Step

Add the 2 equations. $\ \ -2x+5y=\ \ \ 39$ $\underline{\ \ \ \ \ \ \ 2x-3y=-25}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2y=\ \ \ \ 14$ divide both sides by 2 $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=\ \ \ \ \ \ 7$ Substitute and solve for x. $2x-3y=-25$ $2x-3(7)=-25$ $2x-21+21=-25+21$ $2x=-4$ $2x\div2=-4\div2$ $x=-2$
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