Algebra 1: Common Core (15th Edition)

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

Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Practice and Problem-Solving Exercises - Page 368: 33


$(3, 7)$ is the intersection point.

Work Step by Step

In order to check that the intersection point is correct, we plug in the supposed point, (3, 7), into both equations: $x+y=10 \\ 3+7=10 \\ 10=10$ We now check the second equation: $2x+y=13 \\ 2(3)+7 =13 \\13=13$ We see that the intersection point is correct as it is a solution to both equations.
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.