(5x+3yi)+(2y-x)=3-i

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Solution for (5x+3yi)+(2y-x)=3-i equation:


Simplifying
(5x + 3yi) + (2y + -1x) = 3 + -1i

Reorder the terms:
(3iy + 5x) + (2y + -1x) = 3 + -1i

Remove parenthesis around (3iy + 5x)
3iy + 5x + (2y + -1x) = 3 + -1i

Reorder the terms:
3iy + 5x + (-1x + 2y) = 3 + -1i

Remove parenthesis around (-1x + 2y)
3iy + 5x + -1x + 2y = 3 + -1i

Combine like terms: 5x + -1x = 4x
3iy + 4x + 2y = 3 + -1i

Solving
3iy + 4x + 2y = 3 + -1i

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.
3iy + 4x + i + 2y = 3 + -1i + i

Reorder the terms:
i + 3iy + 4x + 2y = 3 + -1i + i

Combine like terms: -1i + i = 0
i + 3iy + 4x + 2y = 3 + 0
i + 3iy + 4x + 2y = 3

Add '-4x' to each side of the equation.
i + 3iy + 4x + -4x + 2y = 3 + -4x

Combine like terms: 4x + -4x = 0
i + 3iy + 0 + 2y = 3 + -4x
i + 3iy + 2y = 3 + -4x

Add '-2y' to each side of the equation.
i + 3iy + 2y + -2y = 3 + -4x + -2y

Combine like terms: 2y + -2y = 0
i + 3iy + 0 = 3 + -4x + -2y
i + 3iy = 3 + -4x + -2y

Reorder the terms:
-3 + i + 3iy + 4x + 2y = 3 + -4x + -2y + -3 + 4x + 2y

Reorder the terms:
-3 + i + 3iy + 4x + 2y = 3 + -3 + -4x + 4x + -2y + 2y

Combine like terms: 3 + -3 = 0
-3 + i + 3iy + 4x + 2y = 0 + -4x + 4x + -2y + 2y
-3 + i + 3iy + 4x + 2y = -4x + 4x + -2y + 2y

Combine like terms: -4x + 4x = 0
-3 + i + 3iy + 4x + 2y = 0 + -2y + 2y
-3 + i + 3iy + 4x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-3 + i + 3iy + 4x + 2y = 0

The solution to this equation could not be determined.

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