2x+y+3yi=5-xi

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Solution for 2x+y+3yi=5-xi equation:


Simplifying
2x + y + 3yi = 5 + -1xi

Reorder the terms:
3iy + 2x + y = 5 + -1xi

Solving
3iy + 2x + y = 5 + -1ix

Solving for variable 'i'.

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

Add 'ix' to each side of the equation.
3iy + 2x + ix + y = 5 + -1ix + ix

Reorder the terms:
ix + 3iy + 2x + y = 5 + -1ix + ix

Combine like terms: -1ix + ix = 0
ix + 3iy + 2x + y = 5 + 0
ix + 3iy + 2x + y = 5

Add '-2x' to each side of the equation.
ix + 3iy + 2x + -2x + y = 5 + -2x

Combine like terms: 2x + -2x = 0
ix + 3iy + 0 + y = 5 + -2x
ix + 3iy + y = 5 + -2x

Add '-1y' to each side of the equation.
ix + 3iy + y + -1y = 5 + -2x + -1y

Combine like terms: y + -1y = 0
ix + 3iy + 0 = 5 + -2x + -1y
ix + 3iy = 5 + -2x + -1y

Reorder the terms:
-5 + ix + 3iy + 2x + y = 5 + -2x + -1y + -5 + 2x + y

Reorder the terms:
-5 + ix + 3iy + 2x + y = 5 + -5 + -2x + 2x + -1y + y

Combine like terms: 5 + -5 = 0
-5 + ix + 3iy + 2x + y = 0 + -2x + 2x + -1y + y
-5 + ix + 3iy + 2x + y = -2x + 2x + -1y + y

Combine like terms: -2x + 2x = 0
-5 + ix + 3iy + 2x + y = 0 + -1y + y
-5 + ix + 3iy + 2x + y = -1y + y

Combine like terms: -1y + y = 0
-5 + ix + 3iy + 2x + y = 0

The solution to this equation could not be determined.

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