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Chapter 1: Q30 (page 10)

Find the value of the variable.

x+9x=5

Short Answer

Expert verified

The value of the variable is x=12.

Step by step solution

01

Step 1. Combine the like terms.

To simplify combine the like terms x and 9x.

x+9x=510x=5

02

Step 2. Divide by 10.

To find the value of variable x in the equation 10x=5, divide both sides of the equation by 10.

10x10=510

03

Step 3. Simplify the equation.

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

10x10=55脳2x=12

04

Step 4. Verify the value.

In order to verify the value of x, substitute 12 for x into the equation x+9x=5.

12+9脳12=5102=55=5True

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

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