By+Ax=Cz

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Solution for By+Ax=Cz equation: 


Simplifying
By + Ax = Cz

Reorder the terms:
xA + yB = Cz

Solving
xA + yB = zC

Solving for variable 'x'.

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

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

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

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

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

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