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Chapter 9: Q. 418 (page 1108)

In the following exercises, solve:

8+2r=3r+10.

Short Answer

Expert verified

The solution is,r=-2.

Step by step solution

01

Step 1. Given Information.

The expression is,

8+2r=3r+10.

02

Step 2. Finding the solution.

8+2r=3r+10

Squaring both sides,

role="math" localid="1647931960766" 鈬�(8+2r)2=(3r+10)2鈬�8+2r=3r+10

Subtracting 8on both sides,

鈬�2r=3r+10-8鈬�2r=3r+2

Subtracting 3ron both sides,

鈬�2r-3r=2鈬�-r=2鈬�r=-2

03

Step 3. Checking the solution.

8+2r=8+2脳(-2)

=8-4=4

3r+10=3(-2)+10

=-6+10=4

The solution is true.

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