Bx+Gy=M

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Solution for Bx+Gy=M equation: 


Simplifying
Bx + Gy = M

Solving
xB + yG = M

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.
xB + yG + -1yG = M + -1yG

Combine like terms: yG + -1yG = 0
xB + 0 = M + -1yG
xB = M + -1yG

Divide each side by 'B'.
x = B-1M + -1yB-1G

Simplifying
x = B-1M + -1yB-1G

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