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Chapter 2: Q21. (page 100)

Solve each equation. Check your solution.

63a+1鈭�30=32a鈭�4

Short Answer

Expert verified

The solution of the given equation is a=1.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�63a+1鈭�30=32a鈭�4鈥�.

02

Step 2. Solve the given equation.

Solving,

63a+1鈭�30=32a鈭�4 (Given equation)

18a+6鈭�30=6a鈭�12 (Distributive property)

18a鈭�24=6a鈭�12 (Simplify)

18a鈭�24鈭�6a=6a鈭�12鈭�6a (Subtract 6afrom both sides)

12a鈭�24=鈭�12 (Simplify)

12a鈭�24+24=鈭�12+24 (Add 24 to both sides)

12a=12 (Simplify)

12a12=1212 (Divide both sides by 12)

a=1 (Simplify)

So, a=1is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put a=1in the given equation 63a+1鈭�30=32a鈭�4to get,

63+1鈭�30=32鈭�464鈭�30=3鈭�224鈭�30=鈭�6鈭�6=鈭�6

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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