Ux-Vy=W

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Solution for Ux-Vy=W equation: 


Simplifying
Ux + -1Vy = W

Solving
xU + -1yV = W

Solving for variable 'x'.

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

Add 'yV' to each side of the equation.
xU + -1yV + yV = W + yV

Combine like terms: -1yV + yV = 0
xU + 0 = W + yV
xU = W + yV

Divide each side by 'U'.
x = U-1W + yU-1V

Simplifying
x = U-1W + yU-1V

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