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Chapter 2: Q12. (page 94)

Solve each equation. Check your solution.

8=16+8n

Short Answer

Expert verified

The solution of the given equation is n=鈭�1.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�8=16+8n鈥�.

02

Step 2. Solve the given equation.

Solving,

8=16+8n(Given equation)

8鈭�16=16+8n鈭�16(Subtract 16 from both sides)

鈭�8=8n (Simplify)

鈭�88=8n8 (Divide both sides by 8)

鈭�1=n (Simplify)

n=鈭�1 (Write the variable on the left-hand side)

So, n=鈭�1is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put n=鈭�1in the given equation 8=16+8nto get,

8=16+8鈭�18=16鈭�88=8

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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