AX+BY=C(x)

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Solution for AX+BY=C(x) equation: 


Simplifying
AX + BY = C(x)

Multiply C * x
AX + BY = xC

Solving
AX + BY = xC

Solving for variable 'A'.

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

Add '-1BY' to each side of the equation.
AX + BY + -1BY = -1BY + xC

Combine like terms: BY + -1BY = 0
AX + 0 = -1BY + xC
AX = -1BY + xC

Divide each side by 'X'.
A = -1BX-1Y + xCX-1

Simplifying
A = -1BX-1Y + xCX-1

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