ax-by=2

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Solution for ax-by=2 equation: 


Simplifying
ax + -1by = 2

Solving
ax + -1by = 2

Solving for variable 'a'.

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

Add 'by' to each side of the equation.
ax + -1by + by = 2 + by

Combine like terms: -1by + by = 0
ax + 0 = 2 + by
ax = 2 + by

Divide each side by 'x'.
a = 2x-1 + bx-1y

Simplifying
a = 2x-1 + bx-1y

Reorder the terms:
a = bx-1y + 2x-1

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