Kx+Ly=M

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Solution for Kx+Ly=M equation: 


Simplifying
Kx + Ly = M

Solving
xK + yL = M

Solving for variable 'x'.

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

Add '-1yL' to each side of the equation.
xK + yL + -1yL = M + -1yL

Combine like terms: yL + -1yL = 0
xK + 0 = M + -1yL
xK = M + -1yL

Divide each side by 'K'.
x = K-1M + -1yK-1L

Simplifying
x = K-1M + -1yK-1L

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