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

System of two or more equations with fixed solutions or unsolvable

Remove one variable by matching coefficients

Make coefficients of one variable equal

Add or subtract the equations

Solve for remaining variable

Substitute into original equation to find other

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

$a, b, c, d, k, m in mathbb{R}$

To match coefficients of one variable

Fixed set or none (unsolvable)