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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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