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3 marksSolving Simultaneous Linear Equations

CSEC Mathematics · January 2012 · Paper 2 · Question 2(a)

This question involves solving simultaneous equations, factorising algebraic expressions, and solving a word problem involving ticket sales.

Solve the pair of simultaneous equations: 3x + 2y = 13 and x - 2y = -1.

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Other parts of this question

  1. 2(b)(i)Factorise completely x² - 16.[1 mark]
  2. 2(b)(ii)Factorise completely 2x² - 3x + 8x - 12.[2 marks]
  3. 2(c)(i)a)Write in terms of x, the number of tickets for children.[1 mark]
  4. 2(c)(i)b)Write in terms of x, the amount spent on tickets for adults.[1 mark]
  5. 2(c)(i)c)Write in terms of x, the amount spent on tickets for children.[1 mark]
  6. 2(c)(ii)Show that the TOTAL amount spent on the 28 tickets is $(15x + 420).[1 mark]
  7. 2(c)(iii)Given that the cost of the 28 tickets was $660, calculate the number of adult tickets bought by the company.[2 marks]

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