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: 25

Answer

One common solution $\Rightarrow$ $(-2,4)$

Work Step by Step

We use the addition method below: We add the 2 equations: $2x+3y=8$ $x+y=2$ Multiply the second equation by $-2$ to cancel $x$: $+2x+3y=+8$ $\underline{-2x-2y=-4}$ $y=4$ Substitute into any of the two equations and solve for $x$: $x+y=2$ $x+4=2$ $x=2-4$ $x=-2$
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