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Chapter 1: Q31 (page 10)

Find the value of the variable.

2g鈭�15+g=9

Short Answer

Expert verified

The value of the variable is g=8.

Step by step solution

01

Step 1. Combine the like terms.

First, remove all the brackets and combine the like terms 2g and g.

2g鈭�15+g=92g鈭�15+g=93g鈭�15=9

02

Step 2. Add 15.

To find the value of variable g in the equation 3g鈭�15=9, add 15 on both sides of the equation.

3g鈭�15+15=9+153g=24

03

Step 3. Divide by 3.

Divide both sides of the equation3g=24 by 3 and cancel the common factors of 3 on both sides.

3g3=243g=3脳83g=8

04

Step 4. Verify the value.

In order to verify the value of g, substitute 8 for g into the equation 2g鈭�15+g=9.

2脳8鈭�15+8=916鈭�15+8=91+8=99=9True

Hence, the value of the variable is g=8.

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