Bx+Cy=Dfory

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Solution for Bx+Cy=Dfory equation: 


Simplifying
Bx + Cy = Dfory

Solving
xB + yC = foryD

Solving for variable 'x'.

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

Add '-1yC' to each side of the equation.
xB + yC + -1yC = foryD + -1yC

Combine like terms: yC + -1yC = 0
xB + 0 = foryD + -1yC
xB = foryD + -1yC

Divide each side by 'B'.
x = foryB-1D + -1yB-1C

Simplifying
x = foryB-1D + -1yB-1C

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