Ax+By=2

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Solution for Ax+By=2 equation: 


Simplifying
Ax + By = 2

Solving
xA + yB = 2

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.
xA + yB + -1yB = 2 + -1yB

Combine like terms: yB + -1yB = 0
xA + 0 = 2 + -1yB
xA = 2 + -1yB

Divide each side by 'A'.
x = 2A-1 + -1yA-1B

Simplifying
x = 2A-1 + -1yA-1B

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