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.
|
|
|
