(k+2)x+(k+1)y=6

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Solution for (k+2)x+(k+1)y=6 equation: 


Simplifying
(k + 2) * x + (k + 1) * y = 6

Reorder the terms:
(2 + k) * x + (k + 1) * y = 6

Reorder the terms for easier multiplication:
x(2 + k) + (k + 1) * y = 6
(2 * x + k * x) + (k + 1) * y = 6

Reorder the terms:
(kx + 2x) + (k + 1) * y = 6
(kx + 2x) + (k + 1) * y = 6

Reorder the terms:
kx + 2x + (1 + k) * y = 6

Reorder the terms for easier multiplication:
kx + 2x + y(1 + k) = 6
kx + 2x + (1 * y + k * y) = 6

Reorder the terms:
kx + 2x + (ky + 1y) = 6
kx + 2x + (ky + 1y) = 6

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

Solving
kx + ky + 2x + 1y = 6

Solving for variable 'k'.

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

Add '-2x' to each side of the equation.
kx + ky + 2x + -2x + 1y = 6 + -2x

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

Add '-1y' to each side of the equation.
kx + ky + 1y + -1y = 6 + -2x + -1y

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

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

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

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

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

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

The solution to this equation could not be determined.

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