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Simplifying (-5 + 2j) * x + -1(3 + -4j) * y = 2 + -1j Reorder the terms for easier multiplication: x(-5 + 2j) + -1(3 + -4j) * y = 2 + -1j (-5 * x + 2j * x) + -1(3 + -4j) * y = 2 + -1j Reorder the terms: (2jx + -5x) + -1(3 + -4j) * y = 2 + -1j (2jx + -5x) + -1(3 + -4j) * y = 2 + -1j Reorder the terms for easier multiplication: 2jx + -5x + -1y(3 + -4j) = 2 + -1j 2jx + -5x + (3 * -1y + -4j * -1y) = 2 + -1j Reorder the terms: 2jx + -5x + (4jy + -3y) = 2 + -1j 2jx + -5x + (4jy + -3y) = 2 + -1j Reorder the terms: 2jx + 4jy + -5x + -3y = 2 + -1j Solving 2jx + 4jy + -5x + -3y = 2 + -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. 2jx + 4jy + -5x + j + -3y = 2 + -1j + j Reorder the terms: j + 2jx + 4jy + -5x + -3y = 2 + -1j + j Combine like terms: -1j + j = 0 j + 2jx + 4jy + -5x + -3y = 2 + 0 j + 2jx + 4jy + -5x + -3y = 2 Add '5x' to each side of the equation. j + 2jx + 4jy + -5x + 5x + -3y = 2 + 5x Combine like terms: -5x + 5x = 0 j + 2jx + 4jy + 0 + -3y = 2 + 5x j + 2jx + 4jy + -3y = 2 + 5x Add '3y' to each side of the equation. j + 2jx + 4jy + -3y + 3y = 2 + 5x + 3y Combine like terms: -3y + 3y = 0 j + 2jx + 4jy + 0 = 2 + 5x + 3y j + 2jx + 4jy = 2 + 5x + 3y Reorder the terms: -2 + j + 2jx + 4jy + -5x + -3y = 2 + 5x + 3y + -2 + -5x + -3y Reorder the terms: -2 + j + 2jx + 4jy + -5x + -3y = 2 + -2 + 5x + -5x + 3y + -3y Combine like terms: 2 + -2 = 0 -2 + j + 2jx + 4jy + -5x + -3y = 0 + 5x + -5x + 3y + -3y -2 + j + 2jx + 4jy + -5x + -3y = 5x + -5x + 3y + -3y Combine like terms: 5x + -5x = 0 -2 + j + 2jx + 4jy + -5x + -3y = 0 + 3y + -3y -2 + j + 2jx + 4jy + -5x + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -2 + j + 2jx + 4jy + -5x + -3y = 0 The solution to this equation could not be determined.
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