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: 9

Answer

The solution is $x=-3$.

Work Step by Step

The given equation is $\Rightarrow x+5=-2x-4$ Write a system of linear equations using each side of the original equation. $\Rightarrow y=x+5$ ...... (1) $\Rightarrow y=-2x-4$ ...... (2) By using graphing calculator graph the system. The intersection point is $(-3,2)$. Check: $\Rightarrow x+5=-2x-4$ $\Rightarrow -3+5=-2(-3)-4$ $\Rightarrow -3+5=6-4$ $\Rightarrow 2=2$ True. Hence, the solution is $x=-3$.
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