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Chapter 1: Q12 (page 10)

Find the value of the variable.

45a=鈭�20

Short Answer

Expert verified

The value of the variable is a=-25.

Step by step solution

01

Step 1. Multiply by 54.

To find the value of variable a in the equation 45a=-20, multiply both sides of the equation by 54.

54脳45a=54脳鈭�20

02

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 4 and 5 on both sides.

a=鈭�54脳4脳5=鈭�25

03

Step 3. Verify the value.

In order to verify the value of a, substitute -25 for into the equation 45a=鈭�20.

45脳鈭�25=鈭�20鈭�20=鈭�20True

Hence, the value of the variable is a=-25.

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