Solve the simultaneous equation: y – x = 3 y = x² + 3x

JAMB Mathematics 2024 199 views
Source: JAMB · 2024

Solve the simultaneous equation:
y – x = 3
y = x² + 3x

  1. (-2, 1) and (-4, 1)
  2. (-3, 0) and (1, 4) ✓
  3. (3, 0) and (-1, 4)
  4. (0, 4) and (3, 1)
Explanation

From y − x = 3, we get y = x + 3.

Put this into y = x² + 3x: x + 3 = x² + 3x, so x² + 2x − 3 = 0, which gives (x + 3)(x − 1) = 0.

So x = −3 or x = 1. Then y = 0 or y = 4. The answers are (−3, 0) and (1, 4).

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