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 - 5.1-5.4 - Quiz - Page 260: 12

Answer

The system of linear equations has infinitely many solutions.

Work Step by Step

The given system of equations is $3x-3y=-2$ ...... (1) $-6x+6y=4$ ...... (2) Multiply equation (1) by $2$. $2(3x-3y)=2(-2)$ Use distributive property. $6x-6y=-4$ ...... (3) Add equation (2) and (3). $\Rightarrow -6x+6y+6x-6y=4-4$ Add like terms. $\Rightarrow 0=0$ The equation $0=0$ is always true. Hence, the system of linear equations has infinitely many solutions.
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