Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises: 16

Answer

r=-2

Work Step by Step

Simplifying 6r + -1(2r + -3) + 5 = 0 Reorder the terms: 6r + -1(-3 + 2r) + 5 = 0 6r + (-3 * -1 + 2r * -1) + 5 = 0 6r + (3 + -2r) + 5 = 0 Reorder the terms: 3 + 5 + 6r + -2r = 0 Combine like terms: 3 + 5 = 8 8 + 6r + -2r = 0 Combine like terms: 6r + -2r = 4r 8 + 4r = 0 Solving 8 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4r = 0 + -8 4r = 0 + -8 Combine like terms: 0 + -8 = -8 4r = -8 Divide each side by '4'. r = -2 Simplifying r = -2
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