7x+y+(5x-y)i=9+15i

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Solution for 7x+y+(5x-y)i=9+15i equation:


Simplifying
7x + y + (5x + -1y) * i = 9 + 15i

Reorder the terms for easier multiplication:
7x + y + i(5x + -1y) = 9 + 15i
7x + y + (5x * i + -1y * i) = 9 + 15i
7x + y + (5ix + -1iy) = 9 + 15i

Reorder the terms:
5ix + -1iy + 7x + y = 9 + 15i

Solving
5ix + -1iy + 7x + y = 9 + 15i

Solving for variable 'i'.

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

Add '-15i' to each side of the equation.
5ix + -1iy + 7x + -15i + y = 9 + 15i + -15i

Reorder the terms:
-15i + 5ix + -1iy + 7x + y = 9 + 15i + -15i

Combine like terms: 15i + -15i = 0
-15i + 5ix + -1iy + 7x + y = 9 + 0
-15i + 5ix + -1iy + 7x + y = 9

Add '-7x' to each side of the equation.
-15i + 5ix + -1iy + 7x + -7x + y = 9 + -7x

Combine like terms: 7x + -7x = 0
-15i + 5ix + -1iy + 0 + y = 9 + -7x
-15i + 5ix + -1iy + y = 9 + -7x

Add '-1y' to each side of the equation.
-15i + 5ix + -1iy + y + -1y = 9 + -7x + -1y

Combine like terms: y + -1y = 0
-15i + 5ix + -1iy + 0 = 9 + -7x + -1y
-15i + 5ix + -1iy = 9 + -7x + -1y

Reorder the terms:
-9 + -15i + 5ix + -1iy + 7x + y = 9 + -7x + -1y + -9 + 7x + y

Reorder the terms:
-9 + -15i + 5ix + -1iy + 7x + y = 9 + -9 + -7x + 7x + -1y + y

Combine like terms: 9 + -9 = 0
-9 + -15i + 5ix + -1iy + 7x + y = 0 + -7x + 7x + -1y + y
-9 + -15i + 5ix + -1iy + 7x + y = -7x + 7x + -1y + y

Combine like terms: -7x + 7x = 0
-9 + -15i + 5ix + -1iy + 7x + y = 0 + -1y + y
-9 + -15i + 5ix + -1iy + 7x + y = -1y + y

Combine like terms: -1y + y = 0
-9 + -15i + 5ix + -1iy + 7x + y = 0

The solution to this equation could not be determined.

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