Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-5 Standard Form - Practice and Problem-Solving Exercises: 36

Answer

$2x-3y=-2$

Work Step by Step

We first multiply both sides of the equation by 3 to cancel out the fractions and give us integers. Thus, we obtain: $3y+6=2(x+4)$ We now simplify using the distributive property: $3y+6=2x+8$ In order to write the equation in standard form, we must get y and x on the same side of the equation: $-2x+3y+6=8 \\\\ -2x+3y=2 \\\\ 2x-3y=-2$ We want this equation to be in standard form using integers, but both x and y are already being multiplied by integers.
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.