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 252: 39

Answer

The equation has infinitely many solutions.

Work Step by Step

The given equation is $\Rightarrow -3(4-2v)=6v-12$ Use distributive property. $\Rightarrow -12+6v=6v-12$ Subtract $6v$ from each side. $\Rightarrow -12+6v-6v=6v-12-6v$ Simplify. $\Rightarrow -12=-12$ True. Hence, the equation has infinitely many solutions.
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