3x+2y-ix+5y=7+5i

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Solution for 3x+2y-ix+5y=7+5i equation:


Simplifying
3x + 2y + -1ix + 5y = 7 + 5i

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

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

Solving
-1ix + 3x + 7y = 7 + 5i

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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