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Chapter 2: Q11. (page 100)

Solve each equation. Check your solution.

2m鈭�13=鈭�8m+27

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�2m鈭�13=鈭�8m+27鈥�.

02

Step 2. Solve the given equation.

Solving,

2m鈭�13=鈭�8m+27 (Given equation)

2m鈭�13+8m=鈭�8m+27+8m (Add 8mto both sides)

10m鈭�13=27 (Simplify)

10m鈭�13+13=27+13 (Add 13 to both sides)

10m=40 (Simplify)

10m10=4010 (Divide both sides by 10)

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 2m鈭�13=鈭�8m+27to get,

24鈭�13=鈭�84+278鈭�13=鈭�32+27鈭�5=鈭�5

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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