The Addition Method
Example
Using the addition method for an inconsistent system
Solve the system:
4y = 
5x 
+ 7 
4y = 
5x 
+ 12 
Solution
If these equations are added, both variables are eliminated:
4y = 
5x + 
7 
4y = 
5x + 
12 
0 = 

19 
Because this equation is inconsistent, the original equations are inconsistent. The
solution set to the system is the empty set, Ã˜.
