PXMx+Qy=Rfory

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Solution for PXMx+Qy=Rfory equation: 


Simplifying
PXMx + Qy = Rfory

Solving
xMPX + yQ = foryR

Solving for variable 'x'.

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

Add '-1yQ' to each side of the equation.
xMPX + yQ + -1yQ = foryR + -1yQ

Combine like terms: yQ + -1yQ = 0
xMPX + 0 = foryR + -1yQ
xMPX = foryR + -1yQ

Divide each side by 'MPX'.
x = foryM-1P-1RX-1 + -1yM-1P-1QX-1

Simplifying
x = foryM-1P-1RX-1 + -1yM-1P-1QX-1

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