Question 1036413
We have to get rid of t
X=7+2t
Y= 4+ t therefore t= y-4
Substituting t in the first equation we get x= 7+2(y-4)
Therefore x= 2y-1


Now we do the same with the second equation by eliminating s
X= -3 +3(4-y)
Therefore x=9-y

Now from the first equation we have x=2y-1
And from the second equation we have x=9-y
Since both are equal to x therefore both sides have to be equal which means 2y-1= 9-y
Solving this equation gives us y=10. If y=10 and x=9-y then x= -1 the point x=-1 and y=10 is the intersection. Since we find the point, this means the lines are not parallel and they intersect.