Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.5 - Solving Equations Containing Rational Expressions - Exercise Set: 1



Work Step by Step

$\frac{x}{2}-\frac{x}{3}=12$ Find the least common multiple of the denominators of $\frac{x}{2}$ and $\frac{x}{3}$. The easiest way to do this is to multiply the denominators (2 and 3) together to get 6. Then, to "undo" the fractions in the equation, multiply each term by 6. $6(\frac{x}{2})-6(\frac{x}{3})=6(12)$ This is equal to $\frac{6x}{2}-\frac{6x}{3}=72$, which, when simplified, is $3x-2x=72$. Since $3x-2x=x$, $x=72$.
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