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Simplifying xy = (y + 1000)(x + -2) Reorder the terms: xy = (1000 + y)(x + -2) Reorder the terms: xy = (1000 + y)(-2 + x) Multiply (1000 + y) * (-2 + x) xy = (1000(-2 + x) + y(-2 + x)) xy = ((-2 * 1000 + x * 1000) + y(-2 + x)) xy = ((-2000 + 1000x) + y(-2 + x)) xy = (-2000 + 1000x + (-2 * y + x * y)) Reorder the terms: xy = (-2000 + 1000x + (xy + -2y)) xy = (-2000 + 1000x + (xy + -2y)) xy = (-2000 + 1000x + xy + -2y) Add '-1xy' to each side of the equation. xy + -1xy = -2000 + 1000x + xy + -1xy + -2y Combine like terms: xy + -1xy = 0 0 = -2000 + 1000x + xy + -1xy + -2y Combine like terms: xy + -1xy = 0 0 = -2000 + 1000x + 0 + -2y 0 = -2000 + 1000x + -2y Solving 0 = -2000 + 1000x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000x' to each side of the equation. 0 + -1000x = -2000 + 1000x + -1000x + -2y Remove the zero: -1000x = -2000 + 1000x + -1000x + -2y Combine like terms: 1000x + -1000x = 0 -1000x = -2000 + 0 + -2y -1000x = -2000 + -2y Divide each side by '-1000'. x = 2 + 0.002y Simplifying x = 2 + 0.002y
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