Px-qy=r

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Solution for Px-qy=r equation: 


Simplifying
Px + -1qy = r

Reorder the terms:
-1qy + xP = r

Solving
-1qy + xP = r

Solving for variable 'q'.

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

Add '-1xP' to each side of the equation.
-1qy + xP + -1xP = r + -1xP

Combine like terms: xP + -1xP = 0
-1qy + 0 = r + -1xP
-1qy = r + -1xP

Divide each side by '-1y'.
q = -1ry-1 + xy-1P

Simplifying
q = -1ry-1 + xy-1P

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