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Chapter 2: Q32. (page 100)

Solve each equation. Check your solution.

183d鈭�2=14d+5

Short Answer

Expert verified

The solution of the given equation is d=12.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�183d鈭�2=14d+5鈥�.

02

Step 2. Solve the given equation.

Solving,

183d鈭�2=14d+5 (Given equation)

183d鈭�2脳8=14d+5脳8 (Multiply both sides by 8)

3d鈭�2=2d+5 (Simplify)

3d鈭�2=2d+10 (Distributive property)

3d鈭�2鈭�2d=2d+10鈭�2d (Subtract 2dfrom both sides)

d鈭�2=10 (Simplify)

d鈭�2+2=10+2 (Add 2 to both sides)

d=12 (Simplify)

So, d=12is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put d=12in the given equation 183d鈭�2=14d+5to get,

18312鈭�2=1412+51836鈭�2=14171834=174174=174

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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