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Chapter 1: Q26. (page 49)

Solve the equation and check the solution.

-23a=14

Short Answer

Expert verified

The solution is a=-21.

Step by step solution

01

Step 1- Consider the equation.

Consider the equation -23a=14.

Multiply both sides of the equation by 3.

02

Step 2- Step description.

鈭�23a=14鈭�23a脳3=14脳3鈭�2a=42

03

Step 3- Step description.

Divide both sides of the equation by -2.

鈭�2a=42鈭�2a鈭�2=42鈭�2a=鈭�21

Therefore, the solution is a=-21.

04

Step 4- Verify the solution.

Substitute a=-21in the equation and simplify as follows:

鈭�23a=14鈭�23鈭�21=14鈭�2鈭�7=1414=14

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is a=-21.

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