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: 18


One common solution $\Rightarrow$ $(0,-3)$

Work Step by Step

We use the addition method below: We add the 2 equations: $5x-2y=6$ $3x-4y=12$ Multiply both sides of the 1st equation by $-2$ to cancel $y$. $-10x+4y=-12$ $\underline{+3x-4y=12}$ $-7x=0$ Solve for $x$: $x=\frac{0}{-7}=0$ Substitute into any of the 2 equations and solve for $y$: $5x-2y=6$ $5(0)-2y=6$ $-2y=6$ $y=\frac{6}{-2}$ $y=-3$
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