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: 17

Answer

The solution is $(-1,2)$.

Work Step by Step

The given system of linear equation is $9x+3y=-3$ ...... (1) $2x-y=-4$ ...... (2) Graph each equation. The intersection point is $(-1,2)$. Check the intersection point. Equation 1: $\Rightarrow 9x+3y=-3$ $\Rightarrow 9(-1)+3(2)=-3$ $\Rightarrow -9+6=-3$ $\Rightarrow -3=-3$ True. Equation 2: $\Rightarrow 2x-y=-4$ $\Rightarrow 2(-1)-2=-4$ $\Rightarrow -2-2=-4$ $\Rightarrow -4=-4$ True. The solution is $(-1,2)$.
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