Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.1 - Introduction to Algebra: Variables and Mathematical Models - Exercise Set - Page 12: 77



Work Step by Step

"quotient of y and 4" $\rightarrow \displaystyle \frac{y}{4}$ "1 less than the quotient of y and 4" $\rightarrow \displaystyle \frac{y}{4}-1$ "x is 1 less than the quotient of y and 4" $\rightarrow x=\displaystyle \frac{y}{4}-1$ If y=$12$, we calculate x from the last equation, $x=\displaystyle \frac{y}{4}-1\\=\dfrac{12}{4}-1\\=3-1\\=2$ To evaluate the expression, replace x with $2$ and y with $12$: $4(2)+3(12+5)=8+3(17)\\ =8+51\\ =59$
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