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Simplifying a(x + -1y) + -1(y + -1x) = 0 (x * a + -1y * a) + -1(y + -1x) = 0 (ax + -1ay) + -1(y + -1x) = 0 Reorder the terms: ax + -1ay + -1(-1x + y) = 0 ax + -1ay + (-1x * -1 + y * -1) = 0 ax + -1ay + (1x + -1y) = 0 Solving ax + -1ay + 1x + -1y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. ax + -1ay + 1x + -1x + -1y = 0 + -1x Combine like terms: 1x + -1x = 0 ax + -1ay + 0 + -1y = 0 + -1x ax + -1ay + -1y = 0 + -1x Remove the zero: ax + -1ay + -1y = -1x Add 'y' to each side of the equation. ax + -1ay + -1y + y = -1x + y Combine like terms: -1y + y = 0 ax + -1ay + 0 = -1x + y ax + -1ay = -1x + y Reorder the terms: ax + -1ay + x + -1y = -1x + x + y + -1y Combine like terms: -1x + x = 0 ax + -1ay + x + -1y = 0 + y + -1y ax + -1ay + x + -1y = y + -1y Combine like terms: y + -1y = 0 ax + -1ay + x + -1y = 0 The solution to this equation could not be determined.
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