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: 24


One common solution $\Rightarrow$ $(1,0)$

Work Step by Step

We use the addition method below: We add the 2 equations: $2x+3y=2$ $3x-2y=3$ Multiply the first equation by $3$ and the second equation by $-2$ to cancel $x$: $+6x+9y=6$ $\underline{-6x+4y=-6}$ $13y=0$ Solve for $y$: $y=\frac{0}{13}=0$ Substitute into any of the two equations and solve for $x$: $2x+3(0)=2$ $2x=2$ $x=\frac{2}{2}$ $x=1$
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