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QMMaths

Simultaneous equations (1)

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In this sheet you should write your answers separated by commas. E.g. x=1, y=3.

    Solve the following pairs of simultaneous equations. Spot the terms with opposite signs!

  1. \left\{\begin{eqnarray} 4x + 3y & = & 16 \\ 8x -3y & = & -4 \end{eqnarray}\right.
  2. \left\{\begin{eqnarray} 3a + 3b & = & 27 \\ 8a -3b & = & 6 \end{eqnarray}\right.
  3. \left\{\begin{eqnarray} 2m + 4n & = & 16 \\ 2m -4n & = & -8 \end{eqnarray}\right.
  4. \left\{\begin{eqnarray} 3x + 8y & = & 38 \\ -3x + 8y & = & 26 \end{eqnarray}\right.

    5. Solve the following pairs of simultaneous equations. Spot the terms with the same sign!

  5. \left\{\begin{eqnarray} 8x + 3y & = & 19 \\ 2x + 3y & = & 7 \end{eqnarray}\right.
  6. \left\{\begin{eqnarray} 8a + 3b & = & 62 \\ 2a + 3b & = & 20 \end{eqnarray}\right.
  7. \left\{\begin{eqnarray} 8m + 3n & = & 14 \\ 3m + 3n & = & 9 \end{eqnarray}\right.
  8. \left\{\begin{eqnarray} 3x + 5y & = & 17 \\ 3x + 4y & = & 16 \end{eqnarray}\right.

    9. Solve the following pairs of simultaneous equations. You may need to multiply one equation first.

  9. \left\{\begin{eqnarray} 4x + 5y & = & 9 \\ x + 8y & = & 9 \end{eqnarray}\right.
  10. \left\{\begin{eqnarray} 8p + q & = & 63 \\ 7p -7q & = & 0 \end{eqnarray}\right.
  11. \left\{\begin{eqnarray} a + 5b & = & 10 \\ 5a + 2b & = & 27 \end{eqnarray}\right.
  12. \left\{\begin{eqnarray} 6u -5v & = & 5 \\ 4u + v & = & 25 \end{eqnarray}\right.