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Simplifying (7 + 2j) * x + -1(5 + -4j) * y = -1 + -1j Reorder the terms for easier multiplication: x(7 + 2j) + -1(5 + -4j) * y = -1 + -1j (7 * x + 2j * x) + -1(5 + -4j) * y = -1 + -1j Reorder the terms: (2jx + 7x) + -1(5 + -4j) * y = -1 + -1j (2jx + 7x) + -1(5 + -4j) * y = -1 + -1j Reorder the terms for easier multiplication: 2jx + 7x + -1y(5 + -4j) = -1 + -1j 2jx + 7x + (5 * -1y + -4j * -1y) = -1 + -1j Reorder the terms: 2jx + 7x + (4jy + -5y) = -1 + -1j 2jx + 7x + (4jy + -5y) = -1 + -1j Reorder the terms: 2jx + 4jy + 7x + -5y = -1 + -1j Solving 2jx + 4jy + 7x + -5y = -1 + -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 + 7x + j + -5y = -1 + -1j + j Reorder the terms: j + 2jx + 4jy + 7x + -5y = -1 + -1j + j Combine like terms: -1j + j = 0 j + 2jx + 4jy + 7x + -5y = -1 + 0 j + 2jx + 4jy + 7x + -5y = -1 Add '-7x' to each side of the equation. j + 2jx + 4jy + 7x + -7x + -5y = -1 + -7x Combine like terms: 7x + -7x = 0 j + 2jx + 4jy + 0 + -5y = -1 + -7x j + 2jx + 4jy + -5y = -1 + -7x Add '5y' to each side of the equation. j + 2jx + 4jy + -5y + 5y = -1 + -7x + 5y Combine like terms: -5y + 5y = 0 j + 2jx + 4jy + 0 = -1 + -7x + 5y j + 2jx + 4jy = -1 + -7x + 5y Reorder the terms: 1 + j + 2jx + 4jy + 7x + -5y = -1 + -7x + 5y + 1 + 7x + -5y Reorder the terms: 1 + j + 2jx + 4jy + 7x + -5y = -1 + 1 + -7x + 7x + 5y + -5y Combine like terms: -1 + 1 = 0 1 + j + 2jx + 4jy + 7x + -5y = 0 + -7x + 7x + 5y + -5y 1 + j + 2jx + 4jy + 7x + -5y = -7x + 7x + 5y + -5y Combine like terms: -7x + 7x = 0 1 + j + 2jx + 4jy + 7x + -5y = 0 + 5y + -5y 1 + j + 2jx + 4jy + 7x + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 1 + j + 2jx + 4jy + 7x + -5y = 0 The solution to this equation could not be determined.
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