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

2x+13+16=3x

Short Answer

Expert verified

The required solution is x=7. The graph of the solution is given below:

Step by step solution

01

Step 1. Given information. 

We have:

2x+13+16=3x

02

Step 2. Solve the equation algebraically. 

The equation is 2x+13+16=3x.

Substract 16from both sides:

2x+13+16-16=3x-162x+13=3x-16

Multiply both sides by 3:

2x+13· 3=3x· 3-16· 32x+1=9x-482x+1-1=9x-48-12x=9x-492x-9x=9x-49-9x-7x=-49-7x-7=-49-7x=7

03

Step 3. Verify the solution using a graphing utility. 

The solution of the equation isx=7.

Draw the graph of the equation 2x+13+16=3x using the graphing utility:

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