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: 78



Work Step by Step

"quotient of y and $3$" $\rightarrow\quad \displaystyle \frac{y}{3}$ "1 less than the quotient of y and $3$" $\rightarrow\quad \displaystyle \frac{y}{3}-1$ "x is 1 less than the quotient of y and $3$" $\rightarrow\quad x=\displaystyle \frac{y}{3}-1$ If y=$15$, we calculate x from the last equation, $x=\displaystyle \frac{y}{3}-1\\=\dfrac{15}{3}-1\\=5-1\\=4$ To evaluate the expression, replace x with $4$ and y with $15$: $3x+4(y+6)=$ $=3(4)+4(15+6)$ $=12+4(21)$ $=12+84$ $=96$
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