Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Test: 18

Answer

y = 2.727 = 2$\frac{8}{11}$

Work Step by Step

$\frac{4}{y}$ - $\frac{5}{3}$ = $\frac{-1}{5}$ LCD (Least Common Denominator = 3y.....(3 $\times$ y = 3y, Since nothing is common between 3 and y) Thus, $\frac{4(3) - 5(y)}{3(y)}$ = $\frac{12 - 5y}{3y}$. Since $\frac{12 - 5y}{3y}$ = $\frac{-1}{5}$, we cross multiply to get 5(12 - 5y) = 3y(-1) 60 - 25y = -3y. Adding 25y on both sides gives 60 - 25y + 25y = -3y + 25y. Thus. 60 = 22y $\frac{60}{22}$ = $\frac{22y}{22}$ ...(Dividing both sides by 22). Thus, y = $\frac{60}{22}$ = 2.727
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