IP2U4 and 3EMU1 SW - Non-Linear Simultaneous Equations Worksheet Q16

IP2U4 and 3EMU1 SW - Non-Linear Simultaneous Equations Worksheet Q16

IP 2

\(x = -3\) and \(y = 4\) is a pair of solutions to the following simultaneous equations:

\(x + 3y = p\)

\( \qquad\quad qx - 5 = y^2 - \frac{2}{3}py\)

  1. Find the values of \(p\) and \(q\).
  2. Hence find the other pair of solutions to the simultaneous equations.

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Answer:(i) \(p=9\), \(q=1\) (ii) \(x=12\), \(y=-1\)

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