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: 42

Answer

The two equations/lines $coincide$ (overlap). Infinite solutions.

Work Step by Step

We use the addition method below: We add the two equations: $\frac{1}{4}x-\frac{2}{5}y=1$ $5x-8y=20$ Multiply both sides of the first equation by $-20$ to cancel $x$. $-5x+8y=-20$ $\underline{+5x-8y=+20}$ $0=0$ This is a true statement, which means we have infinite solutions. So the two equations/lines coincide (overlap).
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