Ax-Gy=L

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Solution for Ax-Gy=L equation: 


Simplifying
Ax + -1Gy = L

Solving
xA + -1yG = L

Solving for variable 'x'.

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

Add 'yG' to each side of the equation.
xA + -1yG + yG = L + yG

Combine like terms: -1yG + yG = 0
xA + 0 = L + yG
xA = L + yG

Divide each side by 'A'.
x = A-1L + yA-1G

Simplifying
x = A-1L + yA-1G

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