px-qy=r+1

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Solution for px-qy=r+1 equation: 


Simplifying
px + -1qy = r + 1

Reorder the terms:
px + -1qy = 1 + r

Solving
px + -1qy = 1 + r

Solving for variable 'p'.

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

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

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

Divide each side by 'x'.
p = x-1 + qx-1y + rx-1

Simplifying
p = x-1 + qx-1y + rx-1

Reorder the terms:
p = qx-1y + rx-1 + x-1

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