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Simplifying (x + y) + j(x + -1y) = 5 + 3j Remove parenthesis around (x + y) x + y + j(x + -1y) = 5 + 3j x + y + (x * j + -1y * j) = 5 + 3j x + y + (jx + -1jy) = 5 + 3j Reorder the terms: jx + -1jy + x + y = 5 + 3j Solving jx + -1jy + x + y = 5 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. jx + -1jy + x + -3j + y = 5 + 3j + -3j Reorder the terms: -3j + jx + -1jy + x + y = 5 + 3j + -3j Combine like terms: 3j + -3j = 0 -3j + jx + -1jy + x + y = 5 + 0 -3j + jx + -1jy + x + y = 5 Add '-1x' to each side of the equation. -3j + jx + -1jy + x + -1x + y = 5 + -1x Combine like terms: x + -1x = 0 -3j + jx + -1jy + 0 + y = 5 + -1x -3j + jx + -1jy + y = 5 + -1x Add '-1y' to each side of the equation. -3j + jx + -1jy + y + -1y = 5 + -1x + -1y Combine like terms: y + -1y = 0 -3j + jx + -1jy + 0 = 5 + -1x + -1y -3j + jx + -1jy = 5 + -1x + -1y Reorder the terms: -5 + -3j + jx + -1jy + x + y = 5 + -1x + -1y + -5 + x + y Reorder the terms: -5 + -3j + jx + -1jy + x + y = 5 + -5 + -1x + x + -1y + y Combine like terms: 5 + -5 = 0 -5 + -3j + jx + -1jy + x + y = 0 + -1x + x + -1y + y -5 + -3j + jx + -1jy + x + y = -1x + x + -1y + y Combine like terms: -1x + x = 0 -5 + -3j + jx + -1jy + x + y = 0 + -1y + y -5 + -3j + jx + -1jy + x + y = -1y + y Combine like terms: -1y + y = 0 -5 + -3j + jx + -1jy + x + y = 0 The solution to this equation could not be determined.
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