bx+ay=1

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Solution for bx+ay=1 equation: 


Simplifying
bx + ay = 1

Reorder the terms:
ay + bx = 1

Solving
ay + bx = 1

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
ay + bx + -1bx = 1 + -1bx

Combine like terms: bx + -1bx = 0
ay + 0 = 1 + -1bx
ay = 1 + -1bx

Divide each side by 'y'.
a = y-1 + -1bxy-1

Simplifying
a = y-1 + -1bxy-1

Reorder the terms:
a = -1bxy-1 + y-1

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