(2+k)x-(1+k)y-5-k=2x+y-11

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Solution for (2+k)x-(1+k)y-5-k=2x+y-11 equation: 


Simplifying
(2 + k) * x + -1(1 + k) * y + -5 + -1k = 2x + y + -11

Reorder the terms for easier multiplication:
x(2 + k) + -1(1 + k) * y + -5 + -1k = 2x + y + -11
(2 * x + k * x) + -1(1 + k) * y + -5 + -1k = 2x + y + -11

Reorder the terms:
(kx + 2x) + -1(1 + k) * y + -5 + -1k = 2x + y + -11
(kx + 2x) + -1(1 + k) * y + -5 + -1k = 2x + y + -11

Reorder the terms for easier multiplication:
kx + 2x + -1y(1 + k) + -5 + -1k = 2x + y + -11
kx + 2x + (1 * -1y + k * -1y) + -5 + -1k = 2x + y + -11

Reorder the terms:
kx + 2x + (-1ky + -1y) + -5 + -1k = 2x + y + -11
kx + 2x + (-1ky + -1y) + -5 + -1k = 2x + y + -11

Reorder the terms:
-5 + -1k + kx + -1ky + 2x + -1y = 2x + y + -11

Reorder the terms:
-5 + -1k + kx + -1ky + 2x + -1y = -11 + 2x + y

Add '-2x' to each side of the equation.
-5 + -1k + kx + -1ky + 2x + -2x + -1y = -11 + 2x + -2x + y

Combine like terms: 2x + -2x = 0
-5 + -1k + kx + -1ky + 0 + -1y = -11 + 2x + -2x + y
-5 + -1k + kx + -1ky + -1y = -11 + 2x + -2x + y

Combine like terms: 2x + -2x = 0
-5 + -1k + kx + -1ky + -1y = -11 + 0 + y
-5 + -1k + kx + -1ky + -1y = -11 + y

Solving
-5 + -1k + kx + -1ky + -1y = -11 + y

Solving for variable 'k'.

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

Add '5' to each side of the equation.
-5 + -1k + kx + -1ky + 5 + -1y = -11 + 5 + y

Reorder the terms:
-5 + 5 + -1k + kx + -1ky + -1y = -11 + 5 + y

Combine like terms: -5 + 5 = 0
0 + -1k + kx + -1ky + -1y = -11 + 5 + y
-1k + kx + -1ky + -1y = -11 + 5 + y

Combine like terms: -11 + 5 = -6
-1k + kx + -1ky + -1y = -6 + y

Add 'y' to each side of the equation.
-1k + kx + -1ky + -1y + y = -6 + y + y

Combine like terms: -1y + y = 0
-1k + kx + -1ky + 0 = -6 + y + y
-1k + kx + -1ky = -6 + y + y

Combine like terms: y + y = 2y
-1k + kx + -1ky = -6 + 2y

Reorder the terms:
6 + -1k + kx + -1ky + -2y = -6 + 2y + 6 + -2y

Reorder the terms:
6 + -1k + kx + -1ky + -2y = -6 + 6 + 2y + -2y

Combine like terms: -6 + 6 = 0
6 + -1k + kx + -1ky + -2y = 0 + 2y + -2y
6 + -1k + kx + -1ky + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
6 + -1k + kx + -1ky + -2y = 0

The solution to this equation could not be determined.

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