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5 marksSolving Mixed Systems of Equations

CSEC Mathematics · May/June 2017 · Paper 2 · Question 9(b)(ii)

A pair of simultaneous equations is given: x² + 2xy = 5 and x + y = 3.

Solve the pair of simultaneous equations above to determine the other solution.

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Other parts of this question

  1. 9(a)(i)a)Calculate the gradient of OA.[1 mark]
  2. 9(a)(i)b)Calculate the gradient of AB.[1 mark]
  3. 9(a)(ii)Complete the following statements: The cyclist started from rest, where his velocity was ___________ ms⁻¹, and steadily increased his velocity by ___________…[3 marks]
  4. 9(a)(iii)Determine the average speed of the cyclist over the 40-second period.[3 marks]
  5. 9(b)(i)WITHOUT solving, show that (1, 2) is a solution for the pair of simultaneous equations.[2 marks]

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