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: 33


One common solution $\Rightarrow$ $(0.5,5)$

Work Step by Step

We use the addition method below: We add the two equations: $4x+3y=17$ $2x-y=-4$ Multiply both sides of the second equation by $-2$ to cancel $x$. $+4x+3y=17$ $\underline{-4x+2y=8}$ $5y=25$ Solve for $y$: $y=\frac{25}{5}=5$ Substitute into any of the two equations and solve for $x$: $2x-y=-4$ $2x-5=-4$ $2x=-4+5$ $2x=1$ $x=\frac{1}{2}$ $x=0.5$
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