CSEC Mathematics · January 2005 · Paper 2 · Question 9(a)
Solve the pair of simultaneous equations:
Solve the pair of simultaneous equations x² = 4 - y and x = y + 2.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 9(b)By simplifying, show that (2x - 3)(2x + 3) - (x - 4)² = 3x² + 8x - 25.[2 marks]
- 9(c)(i)Write 3x² + 8x - 25 in the form a(x + h)² + k where a, h and k are real numbers.[5 marks]
- 9(c)(ii)Hence, or otherwise, determine the minimum value of 3x² + 8x - 25.[5 marks]
- 9(d)Solve the equation 3x² + 8x - 25 = 0 giving your answers correct to one decimal place.[3 marks]
More practice: the rest of this paper · more Solving Mixed Systems of Equations questions · all CSEC Mathematics past papers