Ax+by=1

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Solution for Ax+by=1 equation: 


Simplifying
Ax + by = 1

Reorder the terms:
by + xA = 1

Solving
by + xA = 1

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
by + xA + -1xA = 1 + -1xA

Combine like terms: xA + -1xA = 0
by + 0 = 1 + -1xA
by = 1 + -1xA

Divide each side by 'y'.
b = y-1 + -1xy-1A

Simplifying
b = y-1 + -1xy-1A

Reorder the terms:
b = -1xy-1A + y-1

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