Dx+By=L

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Solution for Dx+By=L equation: 


Simplifying
Dx + By = L

Solving
xD + yB = L

Solving for variable 'x'.

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

Add '-1yB' to each side of the equation.
xD + yB + -1yB = L + -1yB

Combine like terms: yB + -1yB = 0
xD + 0 = L + -1yB
xD = L + -1yB

Divide each side by 'D'.
x = D-1L + -1yBD-1

Simplifying
x = D-1L + -1yBD-1

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