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

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


Simplifying
(x + 2yi) + (-1y + -1xi) = 1 + i

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

Remove parenthesis around (2iy + x)
2iy + x + (-1y + -1xi) = 1 + i

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

Remove parenthesis around (-1ix + -1y)
2iy + x + -1ix + -1y = 1 + i

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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