Simultaneous Linear Equations with More Than Two Variables (VCE SSCE Mathematical Methods): Flashcards

A plane in three-dimensional space

Reduce to a two-variable system, then solve

Values satisfying all three equations simultaneously

Three planes intersect at exactly one point

Three planes intersect along a common line

Planes parallel or have no common intersection

Find where it intersects each axis

Each value gives a different point on the line of solutions

$x$, $y$, and $z$

All points on a straight line in 3D space