Posted by Anonymous on .
If a system has an infinite number of solutions, use setbuilder notation to write the solution set. If a system has no solution, state this.
6x − 2y = 2,
9x − 3y = 1

Math 
drwls,
There is no solution, since the two equations correspond to parallel lines that do not intersect. In other words, they are incompatible equations.
The second equation can be rewritten
6x  2y = 2/3, which clearly disagrees with
6x  2y = 2.
I don't know what you mean by "set builder notation".