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Chapter 1: Q41 (page 1)

Find the value of the variable.

4f+5+5f+40=180

Short Answer

Expert verified

The value of the variable is f=15.

Step by step solution

01

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms.

4f+5+5f+40=1804f+5+5f+40=1809f+45=180

02

Step 2. Subtract 45. 

To find the value of variable f in the equation 9f+45=180, subtract 45 from both sides of the equation.

9f+45鈭�45=180鈭�459f=135

03

Step 3. Divide by 9.

Divide both sides of the equation 9f=135by 9 and cancel the common factors of 9 on both sides.

9f9=1359f=15脳99f=15

04

Step 4. Verify the value.

In order to verify the value of f, substitute 15 for into the equation4f+5+5f+40=180.

4脳15+5+5脳15+40=18060+5+75+40=18065+115=180180=180True

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

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