Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - 3.1 Exercises: 34

Answer

$x=-12$ $y=-60$

Work Step by Step

The second equation is already solved for $y$, then we have to substitute this expression into the first equation: $5x=y$ First equation: $\frac{1}{4}x-\frac{1}{5}(5x)=9$ $-\frac{3}{4}x=9$ $x=-12$ $y=5x=5(-12)=-60$ We need to check, if it is the right solution, we substitute x with $-12$ and y with $-60$: $\frac{1}{4}(-12)-\frac{1}{5}(-60)=-3+12=9$ $\checkmark$ $-60=5(-12)$ $\checkmark$
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