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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} 6x + 4y & = & 34 \\ 6x -4y & = & 26 \end{eqnarray}\right.
  2. \left\{\begin{eqnarray} 6a + 2b & = & 34 \\ 2a -2b & = & 6 \end{eqnarray}\right.
  3. \left\{\begin{eqnarray} 4m + 2n & = & 30 \\ 6m -2n & = & 10 \end{eqnarray}\right.
  4. \left\{\begin{eqnarray} 2x + 6y & = & 34 \\ -2x + 8y & = & 22 \end{eqnarray}\right.

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

  5. \left\{\begin{eqnarray} 5x + 3y & = & 34 \\ 8x + 3y & = & 49 \end{eqnarray}\right.
  6. \left\{\begin{eqnarray} 6a + 4b & = & 36 \\ 6a + 4b & = & 36 \end{eqnarray}\right.
  7. \left\{\begin{eqnarray} 7m + 4n & = & 41 \\ 2m + 4n & = & 26 \end{eqnarray}\right.
  8. \left\{\begin{eqnarray} 2x + 4y & = & 6 \\ 2x + 5y & = & 7 \end{eqnarray}\right.

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

  9. \left\{\begin{eqnarray} 8x + 7y & = & 61 \\ x + 6y & = & 23 \end{eqnarray}\right.
  10. \left\{\begin{eqnarray} 4p + q & = & 15 \\ 4p -8q & = & -12 \end{eqnarray}\right.
  11. \left\{\begin{eqnarray} a + 4b & = & 8 \\ 5a + 8b & = & 28 \end{eqnarray}\right.
  12. \left\{\begin{eqnarray} 5u -7v & = & 13 \\ 5u + v & = & 21 \end{eqnarray}\right.