Bx+Dy=L

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Solution for Bx+Dy=L equation: 


Simplifying
Bx + Dy = L

Solving
xB + yD = L

Solving for variable 'x'.

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

Add '-1yD' to each side of the equation.
xB + yD + -1yD = L + -1yD

Combine like terms: yD + -1yD = 0
xB + 0 = L + -1yD
xB = L + -1yD

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

Simplifying
x = B-1L + -1yB-1D

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