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: 20

Answer

The solution is $(3,-3)$.

Work Step by Step

The given system of linear equation is $3y+4x=3$ ...... (1) $x+3y=-6$ ...... (2) Graph each equation. The intersection point is $(3,-3)$. Check the intersection point. Equation 1: $\Rightarrow 3y+4x=3$ $\Rightarrow 3(-3)+4(3)=3$ $\Rightarrow -9+12=3$ $\Rightarrow 3=3$ True. Equation 2: $\Rightarrow x+3y=-6$ $\Rightarrow 3+3(-3)=-6$ $\Rightarrow 3-9=-6$ $\Rightarrow -6=-6$ True. The solution is $(3,-3)$.
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