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Simplifying (5 + y)(5 + x) = 100 Multiply (5 + y) * (5 + x) (5(5 + x) + y(5 + x)) = 100 ((5 * 5 + x * 5) + y(5 + x)) = 100 ((25 + 5x) + y(5 + x)) = 100 (25 + 5x + (5 * y + x * y)) = 100 Reorder the terms: (25 + 5x + (xy + 5y)) = 100 (25 + 5x + (xy + 5y)) = 100 (25 + 5x + xy + 5y) = 100 Solving 25 + 5x + xy + 5y = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 5x + xy + -25 + 5y = 100 + -25 Reorder the terms: 25 + -25 + 5x + xy + 5y = 100 + -25 Combine like terms: 25 + -25 = 0 0 + 5x + xy + 5y = 100 + -25 5x + xy + 5y = 100 + -25 Combine like terms: 100 + -25 = 75 5x + xy + 5y = 75 Add '-5y' to each side of the equation. 5x + xy + 5y + -5y = 75 + -5y Combine like terms: 5y + -5y = 0 5x + xy + 0 = 75 + -5y 5x + xy = 75 + -5y Reorder the terms: -75 + 5x + xy + 5y = 75 + -5y + -75 + 5y Reorder the terms: -75 + 5x + xy + 5y = 75 + -75 + -5y + 5y Combine like terms: 75 + -75 = 0 -75 + 5x + xy + 5y = 0 + -5y + 5y -75 + 5x + xy + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -75 + 5x + xy + 5y = 0 The solution to this equation could not be determined.
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