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: 28


One common solution $\Rightarrow$ $(-4,-5\frac{1}{3})$

Work Step by Step

We use the addition method: We add the 2 equations: $4x-3y=0$ $2x-3y=8$ Multiply both sides of the second equation by $-2$ to cancel $x$. $+4x-3y=0$ $\underline{-4x+6y=-16}$ $3y=-16$ Solve for $y$: $y=\frac{-16}{3}$ Substitute into any of the two equations and solve for $x$: $4x-3y=0$ $4x-3(-16/3)=0$ $4x+16=0$ $4x=-16$ $x=-4$
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