(3+2i)x+(2-2i)y=17-2i

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


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

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

Reorder the terms:
(2ix + 3x) + (2 + -2i) * y = 17 + -2i
(2ix + 3x) + (2 + -2i) * y = 17 + -2i

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

Reorder the terms:
2ix + 3x + (-2iy + 2y) = 17 + -2i
2ix + 3x + (-2iy + 2y) = 17 + -2i

Reorder the terms:
2ix + -2iy + 3x + 2y = 17 + -2i

Solving
2ix + -2iy + 3x + 2y = 17 + -2i

Solving for variable 'i'.

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

Add '2i' to each side of the equation.
2ix + -2iy + 3x + 2i + 2y = 17 + -2i + 2i

Reorder the terms:
2i + 2ix + -2iy + 3x + 2y = 17 + -2i + 2i

Combine like terms: -2i + 2i = 0
2i + 2ix + -2iy + 3x + 2y = 17 + 0
2i + 2ix + -2iy + 3x + 2y = 17

Add '-3x' to each side of the equation.
2i + 2ix + -2iy + 3x + -3x + 2y = 17 + -3x

Combine like terms: 3x + -3x = 0
2i + 2ix + -2iy + 0 + 2y = 17 + -3x
2i + 2ix + -2iy + 2y = 17 + -3x

Add '-2y' to each side of the equation.
2i + 2ix + -2iy + 2y + -2y = 17 + -3x + -2y

Combine like terms: 2y + -2y = 0
2i + 2ix + -2iy + 0 = 17 + -3x + -2y
2i + 2ix + -2iy = 17 + -3x + -2y

Reorder the terms:
-17 + 2i + 2ix + -2iy + 3x + 2y = 17 + -3x + -2y + -17 + 3x + 2y

Reorder the terms:
-17 + 2i + 2ix + -2iy + 3x + 2y = 17 + -17 + -3x + 3x + -2y + 2y

Combine like terms: 17 + -17 = 0
-17 + 2i + 2ix + -2iy + 3x + 2y = 0 + -3x + 3x + -2y + 2y
-17 + 2i + 2ix + -2iy + 3x + 2y = -3x + 3x + -2y + 2y

Combine like terms: -3x + 3x = 0
-17 + 2i + 2ix + -2iy + 3x + 2y = 0 + -2y + 2y
-17 + 2i + 2ix + -2iy + 3x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-17 + 2i + 2ix + -2iy + 3x + 2y = 0

The solution to this equation could not be determined.

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