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Chapter 1: Q29 (page 10)

Find the value of the variable.

8x鈭�2x=90

Short Answer

Expert verified

The value of the variable is x=15.

Step by step solution

01

Step 1. Combine the like terms.

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

8x鈭�2x=906x=90

02

Step 2. Divide by 10.

To find the value of variable x in the equation 6x=90, divide both sides of the equation by 6.

6x6=906

03

Step 3. Simplify the equation.

To further simplify, cancel the common factors of 6 on both sides.

6x6=6脳156x=15

04

Step 4. Verify the value.

In order to verify the value of x, substitute 15 for x into the equation 8x鈭�2x=90.

8脳15鈭�2脳15=90120鈭�30=9090=90True

Hence, the value of the variable is x=15.

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