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Chapter 1: Q27 (page 10)

Find the value of the variable.

55=7s鈭�8

Short Answer

Expert verified

The value of the variable is s=9.

Step by step solution

01

Step 1. Add 8.

To find the value of variable s in the equation 55=7s鈭�8, add 8 on both sides of the equation.

55+8=7s鈭�8+8

02

Step 2. Simplify the equation.

To simplify, remove all the brackets and combine the like terms.

55+8=7s鈭�8+863=7s

03

Step 3. Divide by 7.

To find the value of variable s in the equation 63=7s, divide both sides of the equation by 7.

637=7s7

04

Step 4. Simplify the equation.

To further simplify, cancel the common factors of 7 on both sides.

7脳97=7s79=s

05

Step 5. Verify the value.

In order to verify the value of s, substitute 9 for into the equation 55=7s鈭�8.

55=7脳9鈭�855=63鈭�855=55True

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

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