Simultaneous equations in two unknowns (AQA GCSE Further Maths): Flashcards

Two unknown variables (usually $x$ and $y$)

A pair $(x, y)$ that satisfies both equations

Infinitely many pairs on the line

One intersection point gives unique solution

When a variable is expressed in terms of the other

Often two solutions

Linear equation (simpler)

As complete pairs: $(x, y)$

Both equations linear in standard form

Subtract equations

Add equations

Define what each variable represents

Convert to pence to avoid decimals