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Q. 23

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Found in: Page 29

### Precalculus Enhanced with Graphing Utilities

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.$\frac{5}{y}+\frac{4}{y}=3$

The required solution is $y=3$ and the graph of the solution is given below:

See the step by step solution

## Step 1. Given information.

We have:

$\frac{5}{y}+\frac{4}{y}=3$

## Step 2. Solve the equation algebraically.

The equation is $\frac{5}{y}+\frac{4}{y}=3$.

Multiply both sides by $y:$

$\frac{5}{y}y+\frac{4}{y}y=3y\phantom{\rule{0ex}{0ex}}5+4=3y\phantom{\rule{0ex}{0ex}}9=3y$

Switch sides:

$3y=9$

Multiply both sides by $3:$

$\frac{3y}{3}=\frac{9}{3}\phantom{\rule{0ex}{0ex}}y=3$

## Step 3. Verify the solution using a graphing utility.

The solution of the equation is $y=3.$

Draw the graph of the equation $\frac{5}{y}+\frac{4}{y}=3$ using the graphing utility:

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