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Solve the simultaneous equations x - y = 1 and x³ - y³ = 7.

1. (2, 1) and (-1, -2)
2. (2, 1) only
3. (1, 0) and (-2, -3)
4. (3, 2) and (-1, -2)

Correct answer: (2, 1) and (-1, -2)

Solution

Divide the cubic equation by (x - y) = 1 to get x² + xy + y² = 7, then substitute x = y + 1.

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