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Chapter 3: Q9E. (page 122)

Solve the equation. Check your solution.

13n+42=81

Short Answer

Expert verified

The solution for the equation 13n+42=81isn=3 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variables.

13n+42=8113n=81鈭�4213n=39

02

– Solve for n

Now, divide both sides of the equation by 13.

n=3913n=3

Therefore, the solution of the equation isn=3 .

03

– Check the solution 

To check the solution, write the original equation and substitute the value of n 13n+42=81.

Now, substitute n=3and check the result.

13(3)+42=8139+42=8181=81

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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