Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 8 - Section 8.1 - Linear Equations with Two Variables - Exercises - Page 296: 6

Answer

$(1,-1)$ $(0,-\frac{8}{3})$ $(-2,-6)$

Work Step by Step

First solve for y, then substitute each given value for x to complete the ordered pairs. $5x-3y=8$ $5x-3y-5x=8-5x\longrightarrow$ subtract 5x from each side $-3y=8-5x$ $-3y\div-3=(8-5x)\div-3\longrightarrow$ divide each side by -3 $y=\frac{5x}{3}-\frac{8}{3}$ $y=\frac{5(1)}{3}-\frac{8}{3}=\frac{-3}{3}=-1$ $y=\frac{5(0)}{3}-\frac{8}{3}=-\frac{8}{3}$ $y=\frac{5(-2)}{3}-\frac{8}{3}=-\frac{10}{3}-\frac{8}{3}=-\frac{18}{3}=-6$
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