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Chapter 1: Q. 25 (page 29)

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

x+7x-1=x+12

Short Answer

Expert verified

The required solution is x=2and the graph of the solution is given below:

Step by step solution

01

Step 1. Given information. 

We have:

x+7x-1=x+12

02

Step 2. Solve the equation algebraically. 

The equation is x+7x-1=x+12.

Expand:

x2+6x-7=x2+2x+1

Add 7to both sides:

x2+6x-7+7=x2+2x+1+7x2+6x=x2+2x+8

Subtract x2+2xto both sides:

x2+6x-x2+2x=x2+2x+8-x2+2x4x=84x4=84x=2

03

Step 3. Verify the solution using a graphing utility. 

The solution of the equation isx=2.

Draw the graph of the equation x+7x-1=x+12using the graphing utility:

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Most popular questions from this chapter

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

x2-7x-18=0

Graph the line containing the point P and having slope m.

P(1,3),m=-25

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

x+2x-3=x-32

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-5,-3);P2=(11,9)

Find the distance d(P1,P2)between the points P1andP2.

P1=(4,-3);P2=(6,4)
See all solutions

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