Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises: 23

Answer

a = -37

Work Step by Step

7(6 - 2a) = 5(-3a + 1) Use the distributive property: 42 - 14a = -15a + 5 Add 14a to both sides of the equation to move the variable (a) to one side of the equation. 42 - 14a + 14a = -15a + 5 + 14a 42 = -1a + 5 Subtract 5 from both sides of the equation. 42 - 5 = -1a + 5 - 5 37 = -1a Divide both sides of the equation by -1 to isolate the variable. $\frac{37}{-1}$ = $\frac{-1a}{-1}$ -37 = a Check: To check your answer, plug it into the original equation. In this case, replace "a" with -37 and solve. 7(6 - 2a) = 5(-3a + 1) 7(6 - 2(-37)) = 5(-3(-37) + 1) 7(6 + 74) = 5(111 + 1) 7(80) = 5(112) 560 = 560
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