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

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Solution for (2+j)x+(5-3j)y=3-j equation: 


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

Reorder the terms for easier multiplication:
x(2 + j) + (5 + -3j) * y = 3 + -1j
(2 * x + j * x) + (5 + -3j) * y = 3 + -1j

Reorder the terms:
(jx + 2x) + (5 + -3j) * y = 3 + -1j
(jx + 2x) + (5 + -3j) * y = 3 + -1j

Reorder the terms for easier multiplication:
jx + 2x + y(5 + -3j) = 3 + -1j
jx + 2x + (5 * y + -3j * y) = 3 + -1j

Reorder the terms:
jx + 2x + (-3jy + 5y) = 3 + -1j
jx + 2x + (-3jy + 5y) = 3 + -1j

Reorder the terms:
jx + -3jy + 2x + 5y = 3 + -1j

Solving
jx + -3jy + 2x + 5y = 3 + -1j

Solving for variable 'j'.

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

Add 'j' to each side of the equation.
jx + -3jy + 2x + j + 5y = 3 + -1j + j

Reorder the terms:
j + jx + -3jy + 2x + 5y = 3 + -1j + j

Combine like terms: -1j + j = 0
j + jx + -3jy + 2x + 5y = 3 + 0
j + jx + -3jy + 2x + 5y = 3

Add '-2x' to each side of the equation.
j + jx + -3jy + 2x + -2x + 5y = 3 + -2x

Combine like terms: 2x + -2x = 0
j + jx + -3jy + 0 + 5y = 3 + -2x
j + jx + -3jy + 5y = 3 + -2x

Add '-5y' to each side of the equation.
j + jx + -3jy + 5y + -5y = 3 + -2x + -5y

Combine like terms: 5y + -5y = 0
j + jx + -3jy + 0 = 3 + -2x + -5y
j + jx + -3jy = 3 + -2x + -5y

Reorder the terms:
-3 + j + jx + -3jy + 2x + 5y = 3 + -2x + -5y + -3 + 2x + 5y

Reorder the terms:
-3 + j + jx + -3jy + 2x + 5y = 3 + -3 + -2x + 2x + -5y + 5y

Combine like terms: 3 + -3 = 0
-3 + j + jx + -3jy + 2x + 5y = 0 + -2x + 2x + -5y + 5y
-3 + j + jx + -3jy + 2x + 5y = -2x + 2x + -5y + 5y

Combine like terms: -2x + 2x = 0
-3 + j + jx + -3jy + 2x + 5y = 0 + -5y + 5y
-3 + j + jx + -3jy + 2x + 5y = -5y + 5y

Combine like terms: -5y + 5y = 0
-3 + j + jx + -3jy + 2x + 5y = 0

The solution to this equation could not be determined.

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