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: 36


One common solution $\Rightarrow$ $(1,-1)$

Work Step by Step

We use the addition method below: We add the two equations: $3x-2y=5$ $7x+3y=4$ Multiply the first equation by $7$ and the second equation by $-3$ to cancel $x$: $+21x-14y=35$ $\underline{-21x-9y=-12}$ $-23y=23$ Solve for $y$: $y=\frac{-23}{23}=-1$ Substitute into any of the two equations and solve for $x$: $3x-2y=5$ $3x-2(-1)=5$ $3x+2=5$ $3x=5-2$ $3x=3$ $x=\frac{3}{3}$ $x=1$
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