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: 29


One common solution $\Rightarrow$ $(2,-1)$

Work Step by Step

We use the addition method below: We add the 2 equations: $2x+5y=-1$ $3x-2y=+8$ Multiply the first equation by $3$ and the second equation by $-2$ to cancel $x$: $+6x+15y=-3$ $\underline{-6x+4y=-16}$ $19y=-19$ Solve for $y$: $y=\frac{-19}{19}=-1$ Substitute into any of the two equations and solve for $x$: $2x+5y=-1$ $2x+5(-1)=-1$ $2x-5=-1$ $2x=-1+5$ $2x=4$ $x=\frac{4}{2}$ $x=2$
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