College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 204: 57


$y$ is a function of $x$.

Work Step by Step

Solve for $y$ in terms of $x$ to obtain: $\begin{array}{ccc} &3x-5y &= &7 \\&-5y &= &-3x+7 \\&\dfrac{-5y}{-5} &= &\dfrac{-3x+7}{-5} \\&y &= &\dfrac{3}{5}x -\dfrac{7}{5} \end{array}$ The last equation above will given only one $y$ value for any value of $x$. Thus, the equation represents a function.
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