Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Practice: 7

Answer

One solution

Work Step by Step

1. Simplify both equations to slope-intercept form ($y=mx+b$). 2. For the first equation ($5x+4y=6$), subtract $5x$ on both sides then divide by 4 on both sides with a result of $y=\frac{-5}{4}x + 2.5.$ 3. Also solve the other equation for y by subtracting x from both sides then multiplying both sides by -1. The end result is $y=x-3.$ 4. Since both equations have different slopes and y-intercepts and are still linear, they must intersect at one point. So there is one solution to the system.
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.