Simultaneous Equations | Questions (Linear & Non-Linear)

GCSE/Simple Simultaneous Equations: (Linear)

1a) (4 marks)

6x + 2y = -3

4x – 3y = 11

1b) (4 marks)

3x – 2y = 12

X + 4y = 11

GCSE/A-Level Simultaneous Equations: (Linear)

2a) (5 marks)

X – 2y = 1

x2 + y2 = 13

2b) (5 marks)

X – 2y = 3

x2 + 2y2 = 27

2c)

L is the straight line with equation y = 2x – 1

C is the circle with equation x2 + y2 = 13

The line intersects the circle at two points

Find the coordinates of both points (5 marks)

A-Level Simultaneous Equations: (Non-Linear)

3a) (6 marks)

X – y = 7

X = y + 7

3b) (6 marks)

X + 2y = 3

X2 + 3xy = 10

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