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Chapter 4: Q71. (page 174)

Algebra Basics Solve the equation. Check your solution.

(Lessons 2.5, 2.6)

a+24=16

Short Answer

Expert verified

The value of the variable is a=鈭�8.

Step by step solution

01

Step 1  . Subtract 24.

To find the value of variable a in the equation a+24=16, subtract 24 from both sides of the equation.

a+24鈭�(24)=16鈭�(24)

02

Step 2  . Collect like terms.

Remove all the brackets and collect the like terms.

a+24鈭�24=16鈭�24

03

Step 3  . Simplify the equation.

To further simplify, combine the like terms.

a+24鈭�24=16鈭�24a+0=鈭�8a=鈭�8

04

Step 4  . Verify the value.

In order to verify the value of variable a, substitute -8 for a into the equation a+24=16.

(鈭�8)+24=1616=16True

Hence, the value of the variable is a=鈭�8.

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