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