3x+ky-1=0

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Solution for 3x+ky-1=0 equation:


Simplifying
3x + ky + -1 = 0

Reorder the terms:
-1 + ky + 3x = 0

Solving
-1 + ky + 3x = 0

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + ky + 1 + 3x = 0 + 1

Reorder the terms:
-1 + 1 + ky + 3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ky + 3x = 0 + 1
ky + 3x = 0 + 1

Combine like terms: 0 + 1 = 1
ky + 3x = 1

Add '-3x' to each side of the equation.
ky + 3x + -3x = 1 + -3x

Combine like terms: 3x + -3x = 0
ky + 0 = 1 + -3x
ky = 1 + -3x

Divide each side by 'y'.
k = y-1 + -3xy-1

Simplifying
k = y-1 + -3xy-1

Reorder the terms:
k = -3xy-1 + y-1

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