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Simplifying (x + -3)(y + 5) = xy + -19 Reorder the terms: (-3 + x)(y + 5) = xy + -19 Reorder the terms: (-3 + x)(5 + y) = xy + -19 Multiply (-3 + x) * (5 + y) (-3(5 + y) + x(5 + y)) = xy + -19 ((5 * -3 + y * -3) + x(5 + y)) = xy + -19 ((-15 + -3y) + x(5 + y)) = xy + -19 (-15 + -3y + (5 * x + y * x)) = xy + -19 (-15 + -3y + (5x + xy)) = xy + -19 Reorder the terms: (-15 + 5x + xy + -3y) = xy + -19 (-15 + 5x + xy + -3y) = xy + -19 Reorder the terms: -15 + 5x + xy + -3y = -19 + xy Add '-1xy' to each side of the equation. -15 + 5x + xy + -1xy + -3y = -19 + xy + -1xy Combine like terms: xy + -1xy = 0 -15 + 5x + 0 + -3y = -19 + xy + -1xy -15 + 5x + -3y = -19 + xy + -1xy Combine like terms: xy + -1xy = 0 -15 + 5x + -3y = -19 + 0 -15 + 5x + -3y = -19 Solving -15 + 5x + -3y = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5x + 15 + -3y = -19 + 15 Reorder the terms: -15 + 15 + 5x + -3y = -19 + 15 Combine like terms: -15 + 15 = 0 0 + 5x + -3y = -19 + 15 5x + -3y = -19 + 15 Combine like terms: -19 + 15 = -4 5x + -3y = -4 Add '3y' to each side of the equation. 5x + -3y + 3y = -4 + 3y Combine like terms: -3y + 3y = 0 5x + 0 = -4 + 3y 5x = -4 + 3y Divide each side by '5'. x = -0.8 + 0.6y Simplifying x = -0.8 + 0.6y
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