sx+ty=ufory

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Solution for sx+ty=ufory equation: 


Simplifying
sx + ty = ufory

Solving
sx + ty = foruy

Solving for variable 's'.

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

Add '-1ty' to each side of the equation.
sx + ty + -1ty = foruy + -1ty

Combine like terms: ty + -1ty = 0
sx + 0 = foruy + -1ty
sx = foruy + -1ty

Divide each side by 'x'.
s = forux-1y + -1tx-1y

Simplifying
s = forux-1y + -1tx-1y

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