Bx+Ay=Y

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Solution for Bx+Ay=Y equation: 


Simplifying
Bx + Ay = Y

Solving
xB + yA = Y

Solving for variable 'x'.

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

Add '-1yA' to each side of the equation.
xB + yA + -1yA = Y + -1yA

Combine like terms: yA + -1yA = 0
xB + 0 = Y + -1yA
xB = Y + -1yA

Divide each side by 'B'.
x = B-1Y + -1yAB-1

Simplifying
x = B-1Y + -1yAB-1

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