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


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.
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