2x+iy+x+y=2

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Solution for 2x+iy+x+y=2 equation:


Simplifying
2x + iy + x + y = 2

Reorder the terms:
iy + 2x + x + y = 2

Combine like terms: 2x + x = 3x
iy + 3x + y = 2

Solving
iy + 3x + y = 2

Solving for variable 'i'.

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

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

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

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

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

Divide each side by 'y'.
i = 2y-1 + -3xy-1 + -1

Simplifying
i = 2y-1 + -3xy-1 + -1

Reorder the terms:
i = -1 + -3xy-1 + 2y-1

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