(x+3i)+(2-yi)=3+i

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

Simplifying
(x + 3i) + (2 + -1yi) = 3 + i

Reorder the terms:
(3i + x) + (2 + -1yi) = 3 + i

Remove parenthesis around (3i + x)
3i + x + (2 + -1yi) = 3 + i

Remove parenthesis around (2 + -1iy)
3i + x + 2 + -1iy = 3 + i

Reorder the terms:
2 + 3i + -1iy + x = 3 + i

Solving
2 + 3i + -1iy + x = 3 + 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.
2 + 3i + -1iy + -1i + x = 3 + i + -1i

Reorder the terms:
2 + 3i + -1i + -1iy + x = 3 + i + -1i

Combine like terms: 3i + -1i = 2i
2 + 2i + -1iy + x = 3 + i + -1i

Combine like terms: i + -1i = 0
2 + 2i + -1iy + x = 3 + 0
2 + 2i + -1iy + x = 3

Add '-2' to each side of the equation.
2 + 2i + -1iy + -2 + x = 3 + -2

Reorder the terms:
2 + -2 + 2i + -1iy + x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 2i + -1iy + x = 3 + -2
2i + -1iy + x = 3 + -2

Combine like terms: 3 + -2 = 1
2i + -1iy + x = 1

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

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

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

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

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

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

The solution to this equation could not be determined.