GCSE · Simultaneous equations

Substitution and real-world simultaneous equationsExam-style questions

Why substitution collapses two equations into one, the bracket that guards every substitution, and how to translate two-fact word problems (prices, sums, perimeters, intersections) into a solvable pair.

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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
$y = 2x$ and $x + y = 12$ . Find $x$ and $y$ .
Level 1 · 2 marksTry it
2
$y = x + 3$ and $x + y = 11$ . Find the value of $y$ .
Level 1 · 2 marksTry it
3
$3x + y = 14$ and $y = 2$ . Find $x$ .
Level 1 · 1 markTry it
4
Two apples and one banana cost $80$ p. One apple and one banana cost $50$ p. Find the cost of one apple.
Level 2 · 2 marksTry it
5
Solve the simultaneous equations

$y = 2x - 3$ $x + y = 9$
Level 3 · 3 marksTry it

13 more questions on substitution and real-world simultaneous equations

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