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: 38


One common solution $\Rightarrow$ $(-\frac{1}{3},2)$

Work Step by Step

We use the addition method below: We add the two equations: $-3x+2y=5$ $-30x+y=12$ Multiply both sides of the first equation by $-10$ to cancel $x$. $+30x-20y=-50$ $\underline{-30x+y=12}$ $-19y=-38$ Solve for $y$: $y=\frac{-38}{-19}=2$ Substitute into any of the two equations and solve for $x$: $-3x+2y=5$ $-3x+2(2)=5$ $-3x+4=5$ $-3x=5-4$ $-3x=1$ $x=\frac{1}{-3}=-\frac{1}{3}$
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