Linear Simultaneous Equations - Elimination (AQA A-Level Mathematics): Flashcards

System of 2+ equations with a fixed set of solutions or unsolvable

To eliminate one variable so you can solve for the other

Make coefficients of one variable equal in both equations

Multiply one or both equations by suitable numbers

Add or subtract equations to eliminate the variable

Substitute back into an original equation to find the other

Input coefficients in simultaneous equation mode

$ax + by = k$ and $cx + dy = m$

Real numbers ($a, b, c, d, k, m \in \mathbb{R}$)

One variable eliminated, equation with single variable remains