Px+Qy=Ry

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Solution for Px+Qy=Ry equation: 


Simplifying
Px + Qy = Ry

Solving
xP + yQ = yR

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.
xP + yQ + -1yQ = -1yQ + yR

Combine like terms: yQ + -1yQ = 0
xP + 0 = -1yQ + yR
xP = -1yQ + yR

Divide each side by 'P'.
x = -1yP-1Q + yP-1R

Simplifying
x = -1yP-1Q + yP-1R

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