xp+yq=z

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Solution for xp+yq=z equation: 


Simplifying
xp + yq = z

Solving
px + qy = z

Solving for variable 'p'.

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

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

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

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

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

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