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

4y-5=182y

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.   

We have:

4y-5=182y

02

Step 2. Solve the equation algebraically.   

The equation is 4y-5=182y.

Simplify:

4y-5=9y

Multiply both sides by y:

4yy-5y=9yy4-5y=9

Subtract 4to the both sides:

4-5y-4=9-4-5y=5

Divide both sides by -5:

-5y-5=5-5y=-1

03

Step 3. Verify the solution using a graphing utility.   

The solution of the equation isy=-1.

Draw the graph of the equation 4y-5=182yusing the graphing utility:

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