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
The line $y = 3x - 5$ and the line $y = x + 7$ cross at the point $P$ .

Work out the coordinates of $P$ .
Level 5 · 3 marksTry it
2
The line $y = 2x - 1$ and the line $y = 7 - 2x$ cross at the point $P$ .

Work out the coordinates of $P$ .
Level 5 · 3 marksTry it