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 - 5.1 - Solving Systems of Linear Equations by Graphing - Exercises - Page 239: 3

Answer

$(2,6)$ is a solution of the linear system.

Work Step by Step

The given system of linear equations. $x+y=8$ ...... (1) $3x-y=0$ ...... (2) The given solution is $(2,6)$. Substitute $2$ for $x$ and $6$ for $y$ in each equation. Equation 1: $\Rightarrow x+y=8$ $\Rightarrow 2+6=8$ $\Rightarrow 8=8$ True. Equation 2: $\Rightarrow 3x-y=0$ $\Rightarrow 3(2)-6=0$ $\Rightarrow 6-6=0$ $\Rightarrow 0=0$ True. Hence, $(2,6)$ is a solution of the linear system.
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