x(2+3j)-y(4+2j)=10-j

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Solution for x(2+3j)-y(4+2j)=10-j equation: 


Simplifying
x(2 + 3j) + -1y(4 + 2j) = 10 + -1j
(2 * x + 3j * x) + -1y(4 + 2j) = 10 + -1j

Reorder the terms:
(3jx + 2x) + -1y(4 + 2j) = 10 + -1j
(3jx + 2x) + -1y(4 + 2j) = 10 + -1j
3jx + 2x + (4 * -1y + 2j * -1y) = 10 + -1j

Reorder the terms:
3jx + 2x + (-2jy + -4y) = 10 + -1j
3jx + 2x + (-2jy + -4y) = 10 + -1j

Reorder the terms:
3jx + -2jy + 2x + -4y = 10 + -1j

Solving
3jx + -2jy + 2x + -4y = 10 + -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.
3jx + -2jy + 2x + j + -4y = 10 + -1j + j

Reorder the terms:
j + 3jx + -2jy + 2x + -4y = 10 + -1j + j

Combine like terms: -1j + j = 0
j + 3jx + -2jy + 2x + -4y = 10 + 0
j + 3jx + -2jy + 2x + -4y = 10

Add '-2x' to each side of the equation.
j + 3jx + -2jy + 2x + -2x + -4y = 10 + -2x

Combine like terms: 2x + -2x = 0
j + 3jx + -2jy + 0 + -4y = 10 + -2x
j + 3jx + -2jy + -4y = 10 + -2x

Add '4y' to each side of the equation.
j + 3jx + -2jy + -4y + 4y = 10 + -2x + 4y

Combine like terms: -4y + 4y = 0
j + 3jx + -2jy + 0 = 10 + -2x + 4y
j + 3jx + -2jy = 10 + -2x + 4y

Reorder the terms:
-10 + j + 3jx + -2jy + 2x + -4y = 10 + -2x + 4y + -10 + 2x + -4y

Reorder the terms:
-10 + j + 3jx + -2jy + 2x + -4y = 10 + -10 + -2x + 2x + 4y + -4y

Combine like terms: 10 + -10 = 0
-10 + j + 3jx + -2jy + 2x + -4y = 0 + -2x + 2x + 4y + -4y
-10 + j + 3jx + -2jy + 2x + -4y = -2x + 2x + 4y + -4y

Combine like terms: -2x + 2x = 0
-10 + j + 3jx + -2jy + 2x + -4y = 0 + 4y + -4y
-10 + j + 3jx + -2jy + 2x + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + j + 3jx + -2jy + 2x + -4y = 0

The solution to this equation could not be determined.

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