I suspect the answer depends on the value of t.
many solutions
There are 120 solutions.
1 solution
1
2
many solutions
Two solutions and they are:- x = 0 and y = 3
One solution.
It has two equal solutions of 2
zero solutions. If you plot these two lines, you will see that they are parallel and do not intersect.
Only 1.
Just the one solution.