Gx-Hy=J

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Solution for Gx-Hy=J equation: 


Simplifying
Gx + -1Hy = J

Solving
xG + -1yH = J

Solving for variable 'x'.

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

Add 'yH' to each side of the equation.
xG + -1yH + yH = J + yH

Combine like terms: -1yH + yH = 0
xG + 0 = J + yH
xG = J + yH

Divide each side by 'G'.
x = G-1J + yG-1H

Simplifying
x = G-1J + yG-1H

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