Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.3 Solve Linear Equations - 1.3 Exercises - Skill Practice - Page 22: 60



Work Step by Step

In order to solve the equation, we must first get the terms with variables all on one side of the equation and the constant numbers on the other side of the equation. Then, we must isolate the variable. Note, to check the solution, we plug the found value back into the equation and check that both sides of the equation get the same value. Doing this, we obtain: $$ 1.7x+ 8.5 =2.1x + 9.7 \\ -.4x = 1.2 \\ x=-3$$ Checking: $$ 1.7(-3+5 ) = 2.1(-3) +9.7 \\3.4=3.4$$
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