Question

yn+13=k
n= ?

ILL MARK BRAINLIST

Answer 1

Answer:

$\displaystyle \large \boxed{ n = \frac{k - 13}{y} } \\ \displaystyle \large \boxed{ n = \frac{k}{y} - \frac{13}{y } }$

Both solutions work!

Step-by-step explanation:

We are given the equation:

$\displaystyle \large{yn + 13 = k}$

To solve or isolate the n-term — first, we subtract 13 both sides.

$\displaystyle \large{yn + 13 - 13 = k - 13} \\ \displaystyle \large{yn = k - 13}$

Since we want to isolate n-term, we divide both sides by y-term.

$\displaystyle \large{ \frac{yn}{y} = \frac{k - 13}{y} } \\ \displaystyle \large{ n = \frac{k - 13}{y} }$

Alternate Solution

The answer above is correct, but for this alternate solution, we will simplify or separate the fraction.

From the equation n-isolated:

$\displaystyle \large{ n = \frac{k - 13}{y} } \\ \displaystyle \large{ n = \frac{k}{y} - \frac{13}{y } }$