Cx+Gy=K

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Solution for Cx+Gy=K equation: 


Simplifying
Cx + Gy = K

Solving
xC + yG = K

Solving for variable 'x'.

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

Add '-1yG' to each side of the equation.
xC + yG + -1yG = K + -1yG

Combine like terms: yG + -1yG = 0
xC + 0 = K + -1yG
xC = K + -1yG

Divide each side by 'C'.
x = C-1K + -1yC-1G

Simplifying
x = C-1K + -1yC-1G

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