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Chapter 2: Q13. (page 94)

Solve each equation. Check your solution.

鈭�34=6m鈭�4

Short Answer

Expert verified

The solution of the given equation is m=鈭�5.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�鈭�34=6m鈭�4鈥�.

02

Step 2. Solve the given equation.

Solving,

鈭�34=6m鈭�4 (Given equation)

鈭�34+4=6m鈭�4+4 (Add 4 to both sides)

鈭�30=6m (Simplify)

鈭�306=6m6 (Divide both sides by 6)

鈭�5=m (Simplify)

m=鈭�5 (Write the variable on the left-hand side)

So, m=鈭�5is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put m=鈭�5in the given equation 鈭�34=6m鈭�4to get,

鈭�34=6鈭�5鈭�4鈭�34=鈭�30鈭�4鈭�34=鈭�34

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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