As+By=Cz

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Solution for As+By=Cz equation: 


Simplifying
As + By = Cz

Solving
sA + yB = zC

Solving for variable 's'.

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

Add '-1yB' to each side of the equation.
sA + yB + -1yB = -1yB + zC

Combine like terms: yB + -1yB = 0
sA + 0 = -1yB + zC
sA = -1yB + zC

Divide each side by 'A'.
s = -1yA-1B + zA-1C

Simplifying
s = -1yA-1B + zA-1C

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