Lx+My=Nfory

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Solution for Lx+My=Nfory equation: 


Simplifying
Lx + My = Nfory

Solving
xL + yM = foryN

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1yM' to each side of the equation.
xL + yM + -1yM = foryN + -1yM

Combine like terms: yM + -1yM = 0
xL + 0 = foryN + -1yM
xL = foryN + -1yM

Divide each side by 'L'.
x = foryL-1N + -1yL-1M

Simplifying
x = foryL-1N + -1yL-1M

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