(3+k)x+(3-k)y=7

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Solution for (3+k)x+(3-k)y=7 equation: 


Simplifying
(3 + k) * x + (3 + -1k) * y = 7

Reorder the terms for easier multiplication:
x(3 + k) + (3 + -1k) * y = 7
(3 * x + k * x) + (3 + -1k) * y = 7

Reorder the terms:
(kx + 3x) + (3 + -1k) * y = 7
(kx + 3x) + (3 + -1k) * y = 7

Reorder the terms for easier multiplication:
kx + 3x + y(3 + -1k) = 7
kx + 3x + (3 * y + -1k * y) = 7

Reorder the terms:
kx + 3x + (-1ky + 3y) = 7
kx + 3x + (-1ky + 3y) = 7

Reorder the terms:
kx + -1ky + 3x + 3y = 7

Solving
kx + -1ky + 3x + 3y = 7

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 + -1ky + 3x + -3x + 3y = 7 + -3x

Combine like terms: 3x + -3x = 0
kx + -1ky + 0 + 3y = 7 + -3x
kx + -1ky + 3y = 7 + -3x

Add '-3y' to each side of the equation.
kx + -1ky + 3y + -3y = 7 + -3x + -3y

Combine like terms: 3y + -3y = 0
kx + -1ky + 0 = 7 + -3x + -3y
kx + -1ky = 7 + -3x + -3y

Reorder the terms:
-7 + kx + -1ky + 3x + 3y = 7 + -3x + -3y + -7 + 3x + 3y

Reorder the terms:
-7 + kx + -1ky + 3x + 3y = 7 + -7 + -3x + 3x + -3y + 3y

Combine like terms: 7 + -7 = 0
-7 + kx + -1ky + 3x + 3y = 0 + -3x + 3x + -3y + 3y
-7 + kx + -1ky + 3x + 3y = -3x + 3x + -3y + 3y

Combine like terms: -3x + 3x = 0
-7 + kx + -1ky + 3x + 3y = 0 + -3y + 3y
-7 + kx + -1ky + 3x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-7 + kx + -1ky + 3x + 3y = 0

The solution to this equation could not be determined.

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