we have
[tex]3x+y=18[/tex] -------> equation [tex]1[/tex]
solve for y
[tex]y=-3x+18[/tex]
The slope [tex]m=-3[/tex]
[tex]3x+y=16[/tex] -------> equation [tex]2[/tex]
solve for y
[tex]y=-3x+6[/tex]
The slope [tex]m=-3[/tex]
The two slopes are the same, so the lines are parallel.
therefore
It's an inconsistent system of equations that has no solution.
the answer is
The system has no solution
