Dx+Fy=G

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Solution for Dx+Fy=G equation: 


Simplifying
Dx + Fy = G

Solving
xD + yF = G

Solving for variable 'x'.

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

Add '-1yF' to each side of the equation.
xD + yF + -1yF = G + -1yF

Combine like terms: yF + -1yF = 0
xD + 0 = G + -1yF
xD = G + -1yF

Divide each side by 'D'.
x = D-1G + -1yD-1F

Simplifying
x = D-1G + -1yD-1F

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