SOLUTION: IF p=m/m+n, find the value of m.

Question 894855: IF p=m/m+n, find the value of m.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
p = m / (m+n)

multiply both sides of the equation by (m+n) to get:

p * (m+n) = m

simplify to get:

pm + pn = m

subtract pm from both sides of the equation to get:

pn = m - pm

factor out the m to get:

pn = m*(1-p)

divide both sides of the equation by (1-p) to get:

pn / (1-p) = m

that's your solution

m = pn / (1-p)

you can confirm by giving m and n a value in the original equation and then solve for p.

you can then confirm by giving p and n the same values in the final equation and then solve for m.

your values for m and n and p in both equation should wind up being the same.

for example:

let m = 8 and n = -4 in the original equation.

p = m / (m+n) = 8/(8-4) = 8/4 = 2

you have m = 8, n = -4, and p = 2 in the original equation

now let n = -4 and p = 2 in the final equation.

m = p*n / (1-p) = 2*-4 / (1-2) = -8 / -1 = 8

you have m = 8, n = -4, and p = 2 in the final equation.

you get the same values in both equations.

this confirms the solution is good.

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