#uw/notes #uw/class/math208
- - -
- Possible intersections of 3 planes in 3D space
	- 1 point - one solution
		- $z=0$
		- $x=0$
		- $y=0$
	- 1 line - infinite solutions
		- $z=0$
		- $x=0$
		- $x=z$
	- 3 lines - no solutions
		- $z=0$
		  $z=x+1$
		- $z=1-x$
	- one plane - infinite solutions
		- $z=0$
		- $2z=0$
		- $3z=0$
	- no intersections - no solutions
		- $z=0$
		- $z=1$
		- $z=2$
- Adding constant multiple of one linear equation in system does not change solution set of system
	- concept behind gaussian elimination