Rx+Sy=Tfory

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Solution for Rx+Sy=Tfory equation: 


Simplifying
Rx + Sy = Tfory

Solving
xR + yS = foryT

Solving for variable 'x'.

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

Add '-1yS' to each side of the equation.
xR + yS + -1yS = foryT + -1yS

Combine like terms: yS + -1yS = 0
xR + 0 = foryT + -1yS
xR = foryT + -1yS

Divide each side by 'R'.
x = foryR-1T + -1yR-1S

Simplifying
x = foryR-1T + -1yR-1S

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