(5+18i)x-(14-5i)y=12+5i

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Solution for (5+18i)x-(14-5i)y=12+5i equation: 


Simplifying
(5 + 18i) * x + -1(14 + -5i) * y = 12 + 5i

Reorder the terms for easier multiplication:
x(5 + 18i) + -1(14 + -5i) * y = 12 + 5i
(5 * x + 18i * x) + -1(14 + -5i) * y = 12 + 5i

Reorder the terms:
(18ix + 5x) + -1(14 + -5i) * y = 12 + 5i
(18ix + 5x) + -1(14 + -5i) * y = 12 + 5i

Reorder the terms for easier multiplication:
18ix + 5x + -1y(14 + -5i) = 12 + 5i
18ix + 5x + (14 * -1y + -5i * -1y) = 12 + 5i

Reorder the terms:
18ix + 5x + (5iy + -14y) = 12 + 5i
18ix + 5x + (5iy + -14y) = 12 + 5i

Reorder the terms:
18ix + 5iy + 5x + -14y = 12 + 5i

Solving
18ix + 5iy + 5x + -14y = 12 + 5i

Solving for variable 'i'.

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

Add '-5i' to each side of the equation.
18ix + 5iy + 5x + -5i + -14y = 12 + 5i + -5i

Reorder the terms:
-5i + 18ix + 5iy + 5x + -14y = 12 + 5i + -5i

Combine like terms: 5i + -5i = 0
-5i + 18ix + 5iy + 5x + -14y = 12 + 0
-5i + 18ix + 5iy + 5x + -14y = 12

Add '-5x' to each side of the equation.
-5i + 18ix + 5iy + 5x + -5x + -14y = 12 + -5x

Combine like terms: 5x + -5x = 0
-5i + 18ix + 5iy + 0 + -14y = 12 + -5x
-5i + 18ix + 5iy + -14y = 12 + -5x

Add '14y' to each side of the equation.
-5i + 18ix + 5iy + -14y + 14y = 12 + -5x + 14y

Combine like terms: -14y + 14y = 0
-5i + 18ix + 5iy + 0 = 12 + -5x + 14y
-5i + 18ix + 5iy = 12 + -5x + 14y

Reorder the terms:
-12 + -5i + 18ix + 5iy + 5x + -14y = 12 + -5x + 14y + -12 + 5x + -14y

Reorder the terms:
-12 + -5i + 18ix + 5iy + 5x + -14y = 12 + -12 + -5x + 5x + 14y + -14y

Combine like terms: 12 + -12 = 0
-12 + -5i + 18ix + 5iy + 5x + -14y = 0 + -5x + 5x + 14y + -14y
-12 + -5i + 18ix + 5iy + 5x + -14y = -5x + 5x + 14y + -14y

Combine like terms: -5x + 5x = 0
-12 + -5i + 18ix + 5iy + 5x + -14y = 0 + 14y + -14y
-12 + -5i + 18ix + 5iy + 5x + -14y = 14y + -14y

Combine like terms: 14y + -14y = 0
-12 + -5i + 18ix + 5iy + 5x + -14y = 0

The solution to this equation could not be determined.

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