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Chapter 1: Q. 21 (page 29)

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

x+13鈥�+x+27=5

Short Answer

Expert verified

The required solution is x=465. The graph of the solution is given below:

Step by step solution

01

Step 1. Given information.

We have:

x+13鈥�+x+27=5

02

Step 2. Solve the equation algebraically.

The equation is x+13鈥�+x+27=5.

Find the least common multiplier of 3,7:21

Multiply by LCM (Least common multiple) to both sides of the equation.

x+13路鈥�21+x+27路鈥�21=5路鈥�217x+1+3x+2=1057x+7+3x+6=10510x+13=105

Subtract 13to both sides:

10x+13-13=105-1310x=9210x10=9210x=465

03

Step 3. Verify the solution using a graphing utility.

The solution of the equation is x=465.

Draw the graph of the equation x+13鈥�+x+27=5using the graphing utility:

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