(k-3)x+(2k+1)y=14

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Solution for (k-3)x+(2k+1)y=14 equation: 


Simplifying
(k + -3) * x + (2k + 1) * y = 14

Reorder the terms:
(-3 + k) * x + (2k + 1) * y = 14

Reorder the terms for easier multiplication:
x(-3 + k) + (2k + 1) * y = 14
(-3 * x + k * x) + (2k + 1) * y = 14

Reorder the terms:
(kx + -3x) + (2k + 1) * y = 14
(kx + -3x) + (2k + 1) * y = 14

Reorder the terms:
kx + -3x + (1 + 2k) * y = 14

Reorder the terms for easier multiplication:
kx + -3x + y(1 + 2k) = 14
kx + -3x + (1 * y + 2k * y) = 14

Reorder the terms:
kx + -3x + (2ky + 1y) = 14
kx + -3x + (2ky + 1y) = 14

Reorder the terms:
kx + 2ky + -3x + 1y = 14

Solving
kx + 2ky + -3x + 1y = 14

Solving for variable 'k'.

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

Add '3x' to each side of the equation.
kx + 2ky + -3x + 3x + 1y = 14 + 3x

Combine like terms: -3x + 3x = 0
kx + 2ky + 0 + 1y = 14 + 3x
kx + 2ky + 1y = 14 + 3x

Add '-1y' to each side of the equation.
kx + 2ky + 1y + -1y = 14 + 3x + -1y

Combine like terms: 1y + -1y = 0
kx + 2ky + 0 = 14 + 3x + -1y
kx + 2ky = 14 + 3x + -1y

Reorder the terms:
-14 + kx + 2ky + -3x + y = 14 + 3x + -1y + -14 + -3x + y

Reorder the terms:
-14 + kx + 2ky + -3x + y = 14 + -14 + 3x + -3x + -1y + y

Combine like terms: 14 + -14 = 0
-14 + kx + 2ky + -3x + y = 0 + 3x + -3x + -1y + y
-14 + kx + 2ky + -3x + y = 3x + -3x + -1y + y

Combine like terms: 3x + -3x = 0
-14 + kx + 2ky + -3x + y = 0 + -1y + y
-14 + kx + 2ky + -3x + y = -1y + y

Combine like terms: -1y + y = 0
-14 + kx + 2ky + -3x + y = 0

The solution to this equation could not be determined.

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