Simultaneous Equations - Edexcel Past-Year Questions

Simultaneous Equations – Past-Year Questions:

1.        Solve the simultaneous equations

3x + y = 1

   x² + 3xy + y² = 5                                     (6)                    …24/03/2004, P1, Q4

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2.        Solve the simultaneous equations

                    2x² + 9xy + 9y² = 0

                    3x + 3y = 2                                          (6)                    …27/05/2004, P1, Q2

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3.        Solve the simultaneous equations

             y = x² – 7x + 10

             x – y + 3 = 0                                              (5)                    …26/01/2005, P1, Q3

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4.        Solve the equations

y – 2x = 5

     2x² + 2xy + y² = 5                                (6)                    …25/05/2005, P1, Q2

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5.        Solve the equations

                        x² + 4x – xy = 10

                 2x – y = 3                                            (6)            …24/05/2006, P1, Q1

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6.        Find the coordinates of the points of intersection of the curve with equation y = 3x² – 4x + 2 and the line with equation 7x + y = 8.        (5)                 …19/01/2007, P1, Q3

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7.        (a)  Find the coordinates of the points where the line with equation y = 3x + 3 intersects the

       curve with equation y = x² + x – 12.                                                                  (5)

(b)   Find the set of values of x for which x² + x – 12 ≥ 3x + 3.                                 (2)

                                                                                                  …17/5/2007, P2, Q4

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8.        Find the coordinates of the points of intersection of the curve with equation y = x² – 8x + 11 and the line with the equation x + y = 5.         (5)         …12/5/2008, P1, Q2

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9.         Solve the equations

x – 2y = 3

     2y² + 2xy + x² = 1                                (6)                       …13/5/2010, P1, Q3

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10.    Solve the equations

    xy = 6

     xy + x + y = 11                                    (6)                          …15/12010, P1, Q4

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11.    Find the coordinates of the points where the line with equation y = 2x - 5 meets the

curve with the equation xy = 12.                 (5)                                …14/5/2009, P2, Q11            

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12.    The grid opposite shows the graph of y = 3x – 4 + 6/x²

The line with equation y = 5x – 4 intersects the curve with equation y = 3x – 4 + 6/x²

(a)    Using algebra, show that the x-coordinate of P satisfies x³ = 3.          (3)

(b)   By drawing a suitable straight line on the grid, obtain an estimate, to 1 decimal place, for the value of 3^1/3                                                                                                                                       
                                                                                                           (13/05/2010, P1, Q1)
                                                                                (+ many more such questions)

                                                                                             

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