(2x+y)+9i=4+(x-3y)i

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Solution for (2x+y)+9i=4+(x-3y)i equation:


Simplifying
(2x + y) + 9i = 4 + (x + -3y) * i

Remove parenthesis around (2x + y)
2x + y + 9i = 4 + (x + -3y) * i

Reorder the terms:
9i + 2x + y = 4 + (x + -3y) * i

Reorder the terms for easier multiplication:
9i + 2x + y = 4 + i(x + -3y)
9i + 2x + y = 4 + (x * i + -3y * i)
9i + 2x + y = 4 + (ix + -3iy)

Solving
9i + 2x + y = 4 + ix + -3iy

Solving for variable 'i'.

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

Add '-1ix' to each side of the equation.
9i + 2x + -1ix + y = 4 + ix + -1ix + -3iy

Reorder the terms:
9i + -1ix + 2x + y = 4 + ix + -1ix + -3iy

Combine like terms: ix + -1ix = 0
9i + -1ix + 2x + y = 4 + 0 + -3iy
9i + -1ix + 2x + y = 4 + -3iy

Add '3iy' to each side of the equation.
9i + -1ix + 2x + 3iy + y = 4 + -3iy + 3iy

Reorder the terms:
9i + -1ix + 3iy + 2x + y = 4 + -3iy + 3iy

Combine like terms: -3iy + 3iy = 0
9i + -1ix + 3iy + 2x + y = 4 + 0
9i + -1ix + 3iy + 2x + y = 4

Add '-2x' to each side of the equation.
9i + -1ix + 3iy + 2x + -2x + y = 4 + -2x

Combine like terms: 2x + -2x = 0
9i + -1ix + 3iy + 0 + y = 4 + -2x
9i + -1ix + 3iy + y = 4 + -2x

Add '-1y' to each side of the equation.
9i + -1ix + 3iy + y + -1y = 4 + -2x + -1y

Combine like terms: y + -1y = 0
9i + -1ix + 3iy + 0 = 4 + -2x + -1y
9i + -1ix + 3iy = 4 + -2x + -1y

Reorder the terms:
-4 + 9i + -1ix + 3iy + 2x + y = 4 + -2x + -1y + -4 + 2x + y

Reorder the terms:
-4 + 9i + -1ix + 3iy + 2x + y = 4 + -4 + -2x + 2x + -1y + y

Combine like terms: 4 + -4 = 0
-4 + 9i + -1ix + 3iy + 2x + y = 0 + -2x + 2x + -1y + y
-4 + 9i + -1ix + 3iy + 2x + y = -2x + 2x + -1y + y

Combine like terms: -2x + 2x = 0
-4 + 9i + -1ix + 3iy + 2x + y = 0 + -1y + y
-4 + 9i + -1ix + 3iy + 2x + y = -1y + y

Combine like terms: -1y + y = 0
-4 + 9i + -1ix + 3iy + 2x + y = 0

The solution to this equation could not be determined.

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