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Simplifying n(x + -1y) + (n + -9)(y + -1x) = 0 (x * n + -1y * n) + (n + -9)(y + -1x) = 0 (nx + -1ny) + (n + -9)(y + -1x) = 0 Reorder the terms: nx + -1ny + (-9 + n)(y + -1x) = 0 Reorder the terms: nx + -1ny + (-9 + n)(-1x + y) = 0 Multiply (-9 + n) * (-1x + y) nx + -1ny + (-9(-1x + y) + n(-1x + y)) = 0 nx + -1ny + ((-1x * -9 + y * -9) + n(-1x + y)) = 0 nx + -1ny + ((9x + -9y) + n(-1x + y)) = 0 nx + -1ny + (9x + -9y + (-1x * n + y * n)) = 0 nx + -1ny + (9x + -9y + (-1nx + ny)) = 0 Reorder the terms: nx + -1ny + (-1nx + ny + 9x + -9y) = 0 nx + -1ny + (-1nx + ny + 9x + -9y) = 0 Reorder the terms: nx + -1nx + -1ny + ny + 9x + -9y = 0 Combine like terms: nx + -1nx = 0 0 + -1ny + ny + 9x + -9y = 0 -1ny + ny + 9x + -9y = 0 Combine like terms: -1ny + ny = 0 0 + 9x + -9y = 0 9x + -9y = 0 Solving 9x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 9x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 9x + 0 = 0 + 9y 9x = 0 + 9y Remove the zero: 9x = 9y Divide each side by '9'. x = y Simplifying x = y
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