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Chapter 2: Q20. (page 100)

Solve each equation. Check your solution.

33m鈭�2=23m+3

Short Answer

Expert verified

The solution of the given equation is m=4.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�33m鈭�2=23m+3鈥�.

02

Step 2. Solve the given equation.

Solving,

33m鈭�2=23m+3 (Given equation)

9m鈭�6=6m+6 (Distributive property)

9m鈭�6鈭�6m=6m+6鈭�6m (Subtract 6mfrom both sides)

3m鈭�6=6 (Simplify)

3m鈭�6+6=6+6 (Add 6 to both sides)

3m=12 (Simplify)

3m3=123 (Divide both sides by 3)

m=4 (Simplify)

So, m=4is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put m=4in the given equation 33m鈭�2=23m+3to get,

334鈭�2=234+3312鈭�2=212+3310=21530=30

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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