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


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).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.