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 1 - Solving Linear Equations - 1.3 - Solving Equations with Variables on Both Sides - Exercises - Page 23: 22

Answer

Infinitely many solutions.

Work Step by Step

The given equation is $\Rightarrow 12y+6= 6(2y+1)$ Use distributive property. $\Rightarrow 12y+6= 12y+6$ Subtract $12y$ from each side. $\Rightarrow 12y+6-12y= 12y+6-12y$ Simplify. $\Rightarrow 6= 6$ The statement $6=6$ is always true. so, the equation has infinitely many solutions.
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