Jx+Ky=L

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Solution for Jx+Ky=L equation: 


Simplifying
Jx + Ky = L

Solving
xJ + yK = L

Solving for variable 'x'.

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

Add '-1yK' to each side of the equation.
xJ + yK + -1yK = L + -1yK

Combine like terms: yK + -1yK = 0
xJ + 0 = L + -1yK
xJ = L + -1yK

Divide each side by 'J'.
x = J-1L + -1yJ-1K

Simplifying
x = J-1L + -1yJ-1K

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