(x+y)+(x-y)j=5+3j

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Solution for (x+y)+(x-y)j=5+3j equation: 


Simplifying
(x + y) + (x + -1y) * j = 5 + 3j

Remove parenthesis around (x + y)
x + y + (x + -1y) * j = 5 + 3j

Reorder the terms for easier multiplication:
x + y + j(x + -1y) = 5 + 3j
x + y + (x * j + -1y * j) = 5 + 3j
x + y + (jx + -1jy) = 5 + 3j

Reorder the terms:
jx + -1jy + x + y = 5 + 3j

Solving
jx + -1jy + x + y = 5 + 3j

Solving for variable 'j'.

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

Add '-3j' to each side of the equation.
jx + -1jy + x + -3j + y = 5 + 3j + -3j

Reorder the terms:
-3j + jx + -1jy + x + y = 5 + 3j + -3j

Combine like terms: 3j + -3j = 0
-3j + jx + -1jy + x + y = 5 + 0
-3j + jx + -1jy + x + y = 5

Add '-1x' to each side of the equation.
-3j + jx + -1jy + x + -1x + y = 5 + -1x

Combine like terms: x + -1x = 0
-3j + jx + -1jy + 0 + y = 5 + -1x
-3j + jx + -1jy + y = 5 + -1x

Add '-1y' to each side of the equation.
-3j + jx + -1jy + y + -1y = 5 + -1x + -1y

Combine like terms: y + -1y = 0
-3j + jx + -1jy + 0 = 5 + -1x + -1y
-3j + jx + -1jy = 5 + -1x + -1y

Reorder the terms:
-5 + -3j + jx + -1jy + x + y = 5 + -1x + -1y + -5 + x + y

Reorder the terms:
-5 + -3j + jx + -1jy + x + y = 5 + -5 + -1x + x + -1y + y

Combine like terms: 5 + -5 = 0
-5 + -3j + jx + -1jy + x + y = 0 + -1x + x + -1y + y
-5 + -3j + jx + -1jy + x + y = -1x + x + -1y + y

Combine like terms: -1x + x = 0
-5 + -3j + jx + -1jy + x + y = 0 + -1y + y
-5 + -3j + jx + -1jy + x + y = -1y + y

Combine like terms: -1y + y = 0
-5 + -3j + jx + -1jy + x + y = 0

The solution to this equation could not be determined.

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