Topics · Edexcel GCSE Maths (1MA1)

Linear simultaneous equations

Foundation and Higher

A pair of simultaneous equations asks for the one pair of numbers that makes both true at once. On a graph, that is where the lines cross.

Exam-style questionNon-calculator3 marks

Solve the simultaneous equations

$3x + 2y = 16$ $5x - 2y = 8$

See why

Which point makes both equations true?

3x + 2y = 5 (needs 16)5x − 2y = 3 (needs 8)

x1y1

Drag the point, or use the sliders.

New contextNon-calculator3 marks

2 coffees and 3 teas cost £9.60

2 coffees and 1 tea cost £6.40

Work out the cost of one coffee.

Two linear simultaneous equations

Short hands-on steps, then exam questions on this topic.

Specification A19: solve two simultaneous equations in two variables, algebraically and by graph.
Linear pairs are on both tiers. Higher adds one linear and one quadratic equation.
Questions set in context (prices, tickets, ages) expect you to form the equations yourself.