(3k+4)x-(2k-6)y=-10

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Solution for (3k+4)x-(2k-6)y=-10 equation:


Simplifying
(3k + 4) * x + -1(2k + -6) * y = -10

Reorder the terms:
(4 + 3k) * x + -1(2k + -6) * y = -10

Reorder the terms for easier multiplication:
x(4 + 3k) + -1(2k + -6) * y = -10
(4 * x + 3k * x) + -1(2k + -6) * y = -10

Reorder the terms:
(3kx + 4x) + -1(2k + -6) * y = -10
(3kx + 4x) + -1(2k + -6) * y = -10

Reorder the terms:
3kx + 4x + -1(-6 + 2k) * y = -10

Reorder the terms for easier multiplication:
3kx + 4x + -1y(-6 + 2k) = -10
3kx + 4x + (-6 * -1y + 2k * -1y) = -10

Reorder the terms:
3kx + 4x + (-2ky + 6y) = -10
3kx + 4x + (-2ky + 6y) = -10

Reorder the terms:
3kx + -2ky + 4x + 6y = -10

Solving
3kx + -2ky + 4x + 6y = -10

Solving for variable 'k'.

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

Add '-4x' to each side of the equation.
3kx + -2ky + 4x + -4x + 6y = -10 + -4x

Combine like terms: 4x + -4x = 0
3kx + -2ky + 0 + 6y = -10 + -4x
3kx + -2ky + 6y = -10 + -4x

Add '-6y' to each side of the equation.
3kx + -2ky + 6y + -6y = -10 + -4x + -6y

Combine like terms: 6y + -6y = 0
3kx + -2ky + 0 = -10 + -4x + -6y
3kx + -2ky = -10 + -4x + -6y

Reorder the terms:
10 + 3kx + -2ky + 4x + 6y = -10 + -4x + -6y + 10 + 4x + 6y

Reorder the terms:
10 + 3kx + -2ky + 4x + 6y = -10 + 10 + -4x + 4x + -6y + 6y

Combine like terms: -10 + 10 = 0
10 + 3kx + -2ky + 4x + 6y = 0 + -4x + 4x + -6y + 6y
10 + 3kx + -2ky + 4x + 6y = -4x + 4x + -6y + 6y

Combine like terms: -4x + 4x = 0
10 + 3kx + -2ky + 4x + 6y = 0 + -6y + 6y
10 + 3kx + -2ky + 4x + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
10 + 3kx + -2ky + 4x + 6y = 0

The solution to this equation could not be determined.

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