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Chapter 1: Q26 (page 10)

Find the value of the variable.

12=3r鈭�9

Short Answer

Expert verified

The value of the variable is r=7.

Step by step solution

01

Step 1. Add 9.

To find the value of variable r in the equation 12=3r鈭�9, add 9 on both sides of the equation.

12+9=3r鈭�9+9

02

Step 2. Simplify the equation.

To simplify, remove all the brackets and combine the like terms.

12+9=3r鈭�9+921=3r

03

Step 3. Divide by 3.

To find the value of variable r in the equation 21=3r, divide both sides of the equation by 3.

213=3r3

04

Step 4. Simplify the equation.

To further simplify, cancel the common factors of 3 on both sides.

3脳73=3r37=r

05

Step 5. Verify the value.

In order to verify the value of r, substitute 7 for r into the equation 12=3r鈭�9.

12=3脳7鈭�912=21鈭�912=12True

Hence, the value of the variable is r=7.

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