Elementary Technical Mathematics

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

Chapter 9 - Section 9.3 - Solving Pairs of Linear Equations by Substitution - Exercises: 7

Answer

(4,2)

Work Step by Step

$5x-y=18$ $y=\frac{1}{2}x$ Substitute $\frac{1}{2}x$ for y in the first equation. $5x-\frac{1}{2}x=18$ $\longrightarrow$ simplify $4\frac{1}{2}x=18$ $\longrightarrow$ divide both sides by 4.5 $4\frac{1}{2}x\div 4\frac{1}{2}=18\div4\frac{1}{2}$ $\longrightarrow$ simplify $x=4$ Substitute 4 for x in the second equation. $y=\frac{1}{2}(4)$ $\longrightarrow$ simplify $y=2$
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