Suggested languages for you:

Americas

Europe

Q. 24

Expert-verifiedFound in: Page 29

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$\frac{4}{y}-5=\frac{18}{2y}$

The required solution is $y=-1$. The graph of the solution is given below:

We have:

$\frac{4}{y}-5=\frac{18}{2y}$

The equation is $\frac{4}{y}-5=\frac{18}{2y}$.

Simplify:

$\frac{4}{y}-5=\frac{9}{y}$

Multiply both sides by $y:$

$\frac{4}{y}y-5y=\frac{9}{y}y\phantom{\rule{0ex}{0ex}}4-5y=9$

Subtract $4$ to the both sides:

$4-5y-4=9-4\phantom{\rule{0ex}{0ex}}-5y=5$

Divide both sides by $-5:$

$\frac{-5y}{-5}=\frac{5}{-5}\phantom{\rule{0ex}{0ex}}y=-1$

The solution of the equation is $y=-1.$

Draw the graph of the equation $\frac{4}{y}-5=\frac{18}{2y}$ using the graphing utility:

94% of StudySmarter users get better grades.

Sign up for free