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 - 5.3 - Solving Systems of Linear Equations by Elimination - Exercises - Page 251: 19

Answer

The error is $4x$ and the correct answer is $x=4$.

Work Step by Step

The given system of equations is $5x-7y=16$ ...... (1) $x+7y=8$ ...... (2) Add equation (1) and (2). $\Rightarrow 5x-7y+x+7y=16+8$ Add like terms. $\Rightarrow 6x=24$ Divide each side by $6$. $\Rightarrow \frac{6x}{6}=\frac{24}{6}$ Simplify. $\Rightarrow x=4$ Hence, the error is $4x$ and the correct answer is $x=4$.
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