2y+ix=4+x-i

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Solution for 2y+ix=4+x-i equation:


Simplifying
2y + ix = 4 + x + -1i

Reorder the terms:
ix + 2y = 4 + x + -1i

Reorder the terms:
ix + 2y = 4 + -1i + x

Solving
ix + 2y = 4 + -1i + x

Solving for variable 'i'.

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

Add 'i' to each side of the equation.
ix + i + 2y = 4 + -1i + i + x

Reorder the terms:
i + ix + 2y = 4 + -1i + i + x

Combine like terms: -1i + i = 0
i + ix + 2y = 4 + 0 + x
i + ix + 2y = 4 + x

Add '-2y' to each side of the equation.
i + ix + 2y + -2y = 4 + x + -2y

Combine like terms: 2y + -2y = 0
i + ix + 0 = 4 + x + -2y
i + ix = 4 + x + -2y

Reorder the terms:
-4 + i + ix + -1x + 2y = 4 + x + -2y + -4 + -1x + 2y

Reorder the terms:
-4 + i + ix + -1x + 2y = 4 + -4 + x + -1x + -2y + 2y

Combine like terms: 4 + -4 = 0
-4 + i + ix + -1x + 2y = 0 + x + -1x + -2y + 2y
-4 + i + ix + -1x + 2y = x + -1x + -2y + 2y

Combine like terms: x + -1x = 0
-4 + i + ix + -1x + 2y = 0 + -2y + 2y
-4 + i + ix + -1x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-4 + i + ix + -1x + 2y = 0

The solution to this equation could not be determined.

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