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If $n n + 15 = 49,$ then choose the correct value of n from the given options, for which the equation holds true.

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answer is D.

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Detailed Solution

The given linear equation is as follows,

n n + 15 = 49

.
To solve the equation, we cross-multiply the denominators on each side of the equation and then simplify using the distributive property of multiplication as follows,

n (9) = 4 (n + 15) 9 n = 4 (n) + 4 (15) 9 n = 4 n + 60

Next, we will be subtracting 4n from each side of the equation as follows,

9 n − 4 n = 4 n − 4 n + 60 5 n = 60

Dividing by 5 on both sides, we get,

5 n 5 = 605 n = 12

So, n = 12 is the solution of the equation

n n + 15 = 49

.
Hence, the correct option is (4).

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