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: 37

Answer

The equation has one solution. $t=\frac{3}{8}$

Work Step by Step

The given equation is $\Rightarrow 9+4t=12-4t$ Add $4t-9$ to each side. $\Rightarrow 9+4t+4t-9=12-4t+4t-9$ Simplify. $\Rightarrow 8t=3$ Divide each side by $8$. $\Rightarrow \frac{8t}{8}=\frac{3}{8}$ Simplify. $\Rightarrow t=\frac{3}{8}$ Hence, the equation has one solution. $t=\frac{3}{8}$
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