(2k-1)x+(2k-3)y=17

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Solution for (2k-1)x+(2k-3)y=17 equation: 


Simplifying
(2k + -1) * x + (2k + -3) * y = 17

Reorder the terms:
(-1 + 2k) * x + (2k + -3) * y = 17

Reorder the terms for easier multiplication:
x(-1 + 2k) + (2k + -3) * y = 17
(-1 * x + 2k * x) + (2k + -3) * y = 17

Reorder the terms:
(2kx + -1x) + (2k + -3) * y = 17
(2kx + -1x) + (2k + -3) * y = 17

Reorder the terms:
2kx + -1x + (-3 + 2k) * y = 17

Reorder the terms for easier multiplication:
2kx + -1x + y(-3 + 2k) = 17
2kx + -1x + (-3 * y + 2k * y) = 17

Reorder the terms:
2kx + -1x + (2ky + -3y) = 17
2kx + -1x + (2ky + -3y) = 17

Reorder the terms:
2kx + 2ky + -1x + -3y = 17

Solving
2kx + 2ky + -1x + -3y = 17

Solving for variable 'k'.

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

Add 'x' to each side of the equation.
2kx + 2ky + -1x + x + -3y = 17 + x

Combine like terms: -1x + x = 0
2kx + 2ky + 0 + -3y = 17 + x
2kx + 2ky + -3y = 17 + x

Add '3y' to each side of the equation.
2kx + 2ky + -3y + 3y = 17 + x + 3y

Combine like terms: -3y + 3y = 0
2kx + 2ky + 0 = 17 + x + 3y
2kx + 2ky = 17 + x + 3y

Reorder the terms:
-17 + 2kx + 2ky + -1x + -3y = 17 + x + 3y + -17 + -1x + -3y

Reorder the terms:
-17 + 2kx + 2ky + -1x + -3y = 17 + -17 + x + -1x + 3y + -3y

Combine like terms: 17 + -17 = 0
-17 + 2kx + 2ky + -1x + -3y = 0 + x + -1x + 3y + -3y
-17 + 2kx + 2ky + -1x + -3y = x + -1x + 3y + -3y

Combine like terms: x + -1x = 0
-17 + 2kx + 2ky + -1x + -3y = 0 + 3y + -3y
-17 + 2kx + 2ky + -1x + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-17 + 2kx + 2ky + -1x + -3y = 0

The solution to this equation could not be determined.

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