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Chapter 1: Q28 (page 10)

Find the value of the variable.

8x+2x=90

Short Answer

Expert verified

The value of the variable is x=9.

Step by step solution

01

Step 1. Combine the like terms.

To simplify combine the like terms 8x and 2x.

8x+2x=9010x=90

02

Step 2. Divide by 10.

To find the value of variable x in the equation 10x=90, divide both sides of the equation by 10.

10x10=9010

03

Step 3. Simplify the equation.

To further simplify, cancel the common factors of 10 on both sides.

10x10=10脳910x=9

04

Step 4. Verify the value.

In order to verify the value of x, substitute 9 for x into the equation 8x+2x=90.

8脳9+2脳9=9072+18=9090=90True

Hence, the value of the variable is x=9.

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