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Simplifying (x + 1)(y + 1) = 121 Reorder the terms: (1 + x)(y + 1) = 121 Reorder the terms: (1 + x)(1 + y) = 121 Multiply (1 + x) * (1 + y) (1(1 + y) + x(1 + y)) = 121 ((1 * 1 + y * 1) + x(1 + y)) = 121 ((1 + 1y) + x(1 + y)) = 121 (1 + 1y + (1 * x + y * x)) = 121 (1 + 1y + (1x + xy)) = 121 Reorder the terms: (1 + 1x + xy + 1y) = 121 (1 + 1x + xy + 1y) = 121 Solving 1 + 1x + xy + 1y = 121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 1x + xy + -1 + 1y = 121 + -1 Reorder the terms: 1 + -1 + 1x + xy + 1y = 121 + -1 Combine like terms: 1 + -1 = 0 0 + 1x + xy + 1y = 121 + -1 1x + xy + 1y = 121 + -1 Combine like terms: 121 + -1 = 120 1x + xy + 1y = 120 Add '-1y' to each side of the equation. 1x + xy + 1y + -1y = 120 + -1y Combine like terms: 1y + -1y = 0 1x + xy + 0 = 120 + -1y 1x + xy = 120 + -1y Reorder the terms: -120 + 1x + xy + y = 120 + -1y + -120 + y Reorder the terms: -120 + 1x + xy + y = 120 + -120 + -1y + y Combine like terms: 120 + -120 = 0 -120 + 1x + xy + y = 0 + -1y + y -120 + 1x + xy + y = -1y + y Combine like terms: -1y + y = 0 -120 + 1x + xy + y = 0 The solution to this equation could not be determined.
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