Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 5 - Solving Systems of Linear Equations - 5.5 - Solving Equations by Graphing - Exercises - Page 265: 5

Answer

The solution is $x=-3$.

Work Step by Step

The given equation is $\Rightarrow -x-1=\frac{1}{3}x+3$ Write a system of linear equations using each side of the original equation. $\Rightarrow y=-x-1$ ...... (1) $\Rightarrow y=\frac{1}{3}x+3$ ...... (2) Use the graph. The intersection point is $(-3,2)$. Check: $\Rightarrow -x-1=\frac{1}{3}x+3$ $\Rightarrow -(-3)-1=\frac{1}{3}(-3)+3$ $\Rightarrow 3-1=-1+3$ $\Rightarrow 2=2$ True. Hence, the solution is $x=-3$.
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.