(1-2i)x+(1+2i)y=1+i

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Solution for (1-2i)x+(1+2i)y=1+i equation: 


Simplifying
(1 + -2i) * x + (1 + 2i) * y = 1 + i

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

Reorder the terms:
(-2ix + 1x) + (1 + 2i) * y = 1 + i
(-2ix + 1x) + (1 + 2i) * y = 1 + i

Reorder the terms for easier multiplication:
-2ix + 1x + y(1 + 2i) = 1 + i
-2ix + 1x + (1 * y + 2i * y) = 1 + i

Reorder the terms:
-2ix + 1x + (2iy + 1y) = 1 + i
-2ix + 1x + (2iy + 1y) = 1 + i

Reorder the terms:
-2ix + 2iy + 1x + 1y = 1 + i

Solving
-2ix + 2iy + 1x + 1y = 1 + i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
-2ix + 2iy + 1x + -1i + 1y = 1 + i + -1i

Reorder the terms:
-1i + -2ix + 2iy + 1x + 1y = 1 + i + -1i

Combine like terms: i + -1i = 0
-1i + -2ix + 2iy + 1x + 1y = 1 + 0
-1i + -2ix + 2iy + 1x + 1y = 1

Add '-1x' to each side of the equation.
-1i + -2ix + 2iy + 1x + -1x + 1y = 1 + -1x

Combine like terms: 1x + -1x = 0
-1i + -2ix + 2iy + 0 + 1y = 1 + -1x
-1i + -2ix + 2iy + 1y = 1 + -1x

Add '-1y' to each side of the equation.
-1i + -2ix + 2iy + 1y + -1y = 1 + -1x + -1y

Combine like terms: 1y + -1y = 0
-1i + -2ix + 2iy + 0 = 1 + -1x + -1y
-1i + -2ix + 2iy = 1 + -1x + -1y

Reorder the terms:
-1 + -1i + -2ix + 2iy + x + y = 1 + -1x + -1y + -1 + x + y

Reorder the terms:
-1 + -1i + -2ix + 2iy + x + y = 1 + -1 + -1x + x + -1y + y

Combine like terms: 1 + -1 = 0
-1 + -1i + -2ix + 2iy + x + y = 0 + -1x + x + -1y + y
-1 + -1i + -2ix + 2iy + x + y = -1x + x + -1y + y

Combine like terms: -1x + x = 0
-1 + -1i + -2ix + 2iy + x + y = 0 + -1y + y
-1 + -1i + -2ix + 2iy + x + y = -1y + y

Combine like terms: -1y + y = 0
-1 + -1i + -2ix + 2iy + x + y = 0

The solution to this equation could not be determined.

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