ax+ky=1

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Solution for ax+ky=1 equation: 


Simplifying
ax + ky = 1

Solving
ax + ky = 1

Solving for variable 'a'.

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

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

Combine like terms: ky + -1ky = 0
ax + 0 = 1 + -1ky
ax = 1 + -1ky

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

Simplifying
a = x-1 + -1kx-1y

Reorder the terms:
a = -1kx-1y + x-1

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