x-2y-3xi-5yi=7+-10i

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Solution for x-2y-3xi-5yi=7+-10i equation: 


Simplifying
x + -2y + -3xi + -5yi = 7 + -10i

Reorder the terms:
-3ix + -5iy + x + -2y = 7 + -10i

Solving
-3ix + -5iy + x + -2y = 7 + -10i

Solving for variable 'i'.

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

Add '10i' to each side of the equation.
-3ix + -5iy + x + 10i + -2y = 7 + -10i + 10i

Reorder the terms:
10i + -3ix + -5iy + x + -2y = 7 + -10i + 10i

Combine like terms: -10i + 10i = 0
10i + -3ix + -5iy + x + -2y = 7 + 0
10i + -3ix + -5iy + x + -2y = 7

Add '-1x' to each side of the equation.
10i + -3ix + -5iy + x + -1x + -2y = 7 + -1x

Combine like terms: x + -1x = 0
10i + -3ix + -5iy + 0 + -2y = 7 + -1x
10i + -3ix + -5iy + -2y = 7 + -1x

Add '2y' to each side of the equation.
10i + -3ix + -5iy + -2y + 2y = 7 + -1x + 2y

Combine like terms: -2y + 2y = 0
10i + -3ix + -5iy + 0 = 7 + -1x + 2y
10i + -3ix + -5iy = 7 + -1x + 2y

Reorder the terms:
-7 + 10i + -3ix + -5iy + x + -2y = 7 + -1x + 2y + -7 + x + -2y

Reorder the terms:
-7 + 10i + -3ix + -5iy + x + -2y = 7 + -7 + -1x + x + 2y + -2y

Combine like terms: 7 + -7 = 0
-7 + 10i + -3ix + -5iy + x + -2y = 0 + -1x + x + 2y + -2y
-7 + 10i + -3ix + -5iy + x + -2y = -1x + x + 2y + -2y

Combine like terms: -1x + x = 0
-7 + 10i + -3ix + -5iy + x + -2y = 0 + 2y + -2y
-7 + 10i + -3ix + -5iy + x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-7 + 10i + -3ix + -5iy + x + -2y = 0

The solution to this equation could not be determined.

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