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: 7

Answer

The solution is $x=-2$.

Work Step by Step

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