Kx+(k-1)y=0

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Solution for Kx+(k-1)y=0 equation: 


Simplifying
Kx + (k + -1) * y = 0

Reorder the terms:
xK + (-1 + k) * y = 0

Reorder the terms for easier multiplication:
xK + y(-1 + k) = 0
xK + (-1 * y + k * y) = 0

Reorder the terms:
xK + (ky + -1y) = 0
xK + (ky + -1y) = 0

Reorder the terms:
ky + xK + -1y = 0

Solving
ky + xK + -1y = 0

Solving for variable 'k'.

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

Add '-1xK' to each side of the equation.
ky + xK + -1xK + -1y = 0 + -1xK

Combine like terms: xK + -1xK = 0
ky + 0 + -1y = 0 + -1xK
ky + -1y = 0 + -1xK
Remove the zero:
ky + -1y = -1xK

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

Combine like terms: -1y + y = 0
ky + 0 = -1xK + y
ky = -1xK + y

Divide each side by 'y'.
k = -1xy-1K + 1

Simplifying
k = -1xy-1K + 1

Reorder the terms:
k = 1 + -1xy-1K

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