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

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


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

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

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

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

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

Solving for variable 'j'.

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

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

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

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

Add '-3x' to each side of the equation.
-1j + -2jx + -3jy + 3x + -3x + 5y = 0 + -3x

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

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

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

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

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

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

The solution to this equation could not be determined.

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