 #1
 98
 3
Summary:

I have the following linear equation
3x1 +x22x3 =7
5x1 + 3x24x3 = 2
x1 + 2x23x3 = 1
And I wonder it has a solution, because I found the third line as:
0 0 0 = 49/6
Main Question or Discussion Point
I don't know the terms so I'm sorry if the informations at summary above is unclear. But I add a detailed photo of my calculations below. I use Gauss' Elimination laws.