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: 32


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

Work Step by Step

We use the addition method below: We add the two equations: $8x+12y=36$ $16x+15y=45$ Multiply both sides of the first equation by $-2$ to cancel $x$. $-16x-24y=-72$ $\underline{+16x+15y=+45}$ $-9y=-27$ Solve for $y$: $y=\frac{-27}{-9}=3$ Substitute into any of the two equations and solve for $x$: $8x+12y=36$ $8x+12(3)=36$ $8x+36=36$ $8x=36-36$ $8x=0$ $x=\frac{0}{8}$ $x=0$
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