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Chapter 2: Q17. (page 100)

Solve each equation. Check your solution.

6n+5=66

Short Answer

Expert verified

The solution of the given equation is n=6.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�6n+5=66鈥�.

02

Step 2. Solve the given equation.

Solving,

6n+5=66 (Given equation)

6n+56=666 (Divide both sides by 6)

n+5=11 (Simplify)

n+5鈭�5=11鈭�5 (Subtract 5 from both sides)

n=6 (Simplify)

So, n=6is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put n=6in the given equation 6n+5=66to get,

66+5=66611=6666=66

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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