GCSE · Simultaneous equations

Simultaneous equations by eliminationExam-style questions

Why two unknowns need two equations, why adding or subtracting whole equations is legal, and the sign rule that decides which of the two kills a variable.

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18 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Solve the simultaneous equations

$2x + y = 11$ $x + y = 7$
Level 2 · 3 marksTry it
2
Solve the simultaneous equations

$2x + 3y = 12$ $2x - y = 4$

(3 marks)
Level 2 · 3 marksTry it
3
Solve the simultaneous equations

$3x + 2y = 19$ $x - 2y = 1$

[3]
Level 2 · 3 marksTry it
4
Solve the simultaneous equations

$5x + 3y = 21$ $2x + 3y = 12$

[3]
Level 2 · 3 marksTry it
5
Use these graphs to solve the simultaneous equations

$x + 2y = 8$

$y = 2x - 6$

(1 mark)
Level 2 · 1 markTry it