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: 23

Answer

Infinitely many solutions.

Work Step by Step

The given equation is $\Rightarrow 3(4g+6)= 2(6g+9)$ Use distributive property. $\Rightarrow 12g+18= 12g+18$ Subtract $12g$ from each side. $\Rightarrow 12g+18-12g= 12g+18-12g$ Simplify. $\Rightarrow 18= 18$ The statement $18=18$ is always true. so, the equation has infinitely many solutions.
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