Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.5 - Integrated Review - Summary on Rational Expressions - Page 527: 24

Answer

When we solve an equation, we multiply both sides of the equation by the LCD. We then solve the resulting equation and then check to see if the solution is valid in the original equation. For the equation $y/4 = y/2 - 1/4$, we can multiply all terms by 4 to yield (and solve) the resulting equation $y= 2y-1$.

Work Step by Step

When we calculate an expression, we find the LCD of the rational expression. Then, we rewrite the expression as an equivalent expression (using the LCD). Then, we add or subtract the numerators and write the sum or difference over the common denominator in lowest terms. Thus, in the expression $y/2 - 1/4$, when we multiply the first fraction by 2, we get the equivalent expression $2y/4-1/4$.
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