What is,
m/n = p-6
solve for n.
2 answers:
Answer:
Step-by-step explanation:
![\dfrac{m}{n}=(p-6)\\\\m=(p-6)n\\\\n=\dfrac{m}{(p-6)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D%3D%28p-6%29%5C%5C%5C%5Cm%3D%28p-6%29n%5C%5C%5C%5Cn%3D%5Cdfrac%7Bm%7D%7B%28p-6%29%7D)
![\huge \boxed{\mathbb{QUESTION} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathbb%7BQUESTION%7D%20%5Cdownarrow%7D)
- What is, m/n = p-6. Solve for n.
![\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathbb%7BANSWER%5C%3A%20WITH%5C%3A%20EXPLANATION%7D%20%5Cdownarrow%7D)
![\sf \: \frac { m } { n } = p - 6 \\](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20%5Cfrac%20%7B%20m%20%7D%20%7B%20n%20%7D%20%3D%20p%20-%206%20%5C%5C%20)
Variable n cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by n.
![\sf \: m=np+n\left(-6\right)](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20m%3Dnp%2Bn%5Cleft%28-6%5Cright%29%20)
Swap sides so that all variable terms are on the left-hand side.
![\sf \: np+n\left(-6\right)=m](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20np%2Bn%5Cleft%28-6%5Cright%29%3Dm%20)
Combine all terms containing n.
![\sf\left(p-6\right)n=m](https://tex.z-dn.net/?f=%20%5Csf%5Cleft%28p-6%5Cright%29n%3Dm%20)
Divide both sides by p-6.
![\sf\frac{\left(p-6\right)n}{p-6}=\frac{m}{p-6} \\](https://tex.z-dn.net/?f=%20%5Csf%5Cfrac%7B%5Cleft%28p-6%5Cright%29n%7D%7Bp-6%7D%3D%5Cfrac%7Bm%7D%7Bp-6%7D%20%20%5C%5C%20)
Cancel (p-6) by p-6.
![\sf \: n =\frac{m}{p-6} \\](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20n%20%3D%5Cfrac%7Bm%7D%7Bp-6%7D%20%20%5C%5C%20)
Variable n cannot be equal to 0.
![\boxed{ \boxed{ \bf \: n=\frac{m}{p-6}\text{, }n\neq 0 }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%20%5C%3A%20n%3D%5Cfrac%7Bm%7D%7Bp-6%7D%5Ctext%7B%2C%20%7Dn%5Cneq%200%20%7D%7D)
You might be interested in
Answer:
1000000000000000000p000000000000
Answer:
15 liters of pure water must be added
PEMDAS
Multiply -9 for the values in the parentheses
-4.5x + 27