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: 8

Answer

The solution is $x=1$.

Work Step by Step

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