Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 4 - Congruent Triangles - Algebra Review - Page 257: 7


This system of equations has infinitely many solutions.

Work Step by Step

We can use the first equation to substitute for $y$ in the second equation. Then we can solve for $x$ first: $2(-x + 2) = 4 - 2x$ Distribute first to get rid of the parentheses: $-2x + 4 = 4 - 2x$ Add $2x$ to each side of the equation to move $x$ terms to the left side of the equation: $4 = 4$ This statement is true, which means the statement is true for every value of $x$; therefore, this system of equations has infinitely many solutions.
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.