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: 13

Answer

The solution is $x=3$.

Work Step by Step

The given equation is $\Rightarrow 5x-7=2(x+1)$ Write a system of linear equations using each side of the original equation. $\Rightarrow y=5x-7$ ...... (1) $\Rightarrow y=2(x+1)$ ...... (2) By using graphing calculator graph the system. The intersection point is $(3,8)$. Check: $\Rightarrow 5x-7=2(x+1)$ $\Rightarrow 5(3)-7=2(3+1)$ $\Rightarrow 15-7=2(4)$ $\Rightarrow 8=8$ True. Hence, the solution is $x=3$.
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