ax-by=k

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Solution for ax-by=k equation: 


Simplifying
ax + -1by = k

Solving
ax + -1by = k

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 = by + k

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

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

Simplifying
a = bx-1y + kx-1

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