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Chapter 1: Q42 (page 10)

Find the value of the variable.

3g鈭�4+4g+10=90

Short Answer

Expert verified

The value of the variable is g=12.

Step by step solution

01

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms.

3g鈭�4+4g+10=903g鈭�4+4g+10=907g+6=90

02

Step 2. Subtract 6.

To find the value of variable g in the equation 7g+6=90, subtract 6 from both sides of the equation.

7g+6鈭�6=90鈭�67g=84

03

Step 3. Divide by 7.

Divide both sides of the equation 7g=84by 7 and cancel the common factors of 7 on both sides.

7g7=847g=12脳79g=12

04

Step 4. Verify the value.

In order to verify the value of g, substitute 12 for g into the equation 3g鈭�4+4g+10=90.

3脳12鈭�4+4脳12+10=9036鈭�4+48+10=9032+58=9090=90True

Hence, the value of the variable is g=12.

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