Substitution question

Feb 2010
3
0
When doing substitution to solve a system of equations, how can i tell if it has one solution, no solution, or infinitely many solutions.
 

masters

MHF Helper
Jan 2008
2,550
1,187
Big Stone Gap, Virginia
When doing substitution to solve a system of equations, how can i tell if it has one solution, no solution, or infinitely many solutions.
Hi campvoorhees23146,

If the slopes of the two equations are equal, then there is no solution.


If one equation is a multiple of the other equation, then there are infinitely many solutions.
 
Aug 2007
3,171
860
USA
When doing substitution to solve a system of equations, how can i tell if it has one solution, no solution, or infinitely many solutions.
Poor Man's Definitions:

1) If you get one, there is one. Example x = 3
2) If you get nonsense, there is none. Example 3 = 7
3) If you get "duh", there are many. Example 12 = 12
 
Apr 2010
384
153
Canada
Poor Man's Definitions:

1) If you get one, there is one. Example x = 3
2) If you get nonsense, there is none. Example 3 = 7
3) If you get "duh", there are many. Example 12 = 12
LOL