Question

Does the following have a solution:
{y=2x+3
{y=3x+2

Answer 1

Yes.
2x+3=3x+2
3=x+2
x=1

Then plug in your x value in either of your other equations.
y=2(1)+3
y=2+3
y=5

To check you can plug both of them in to either of your original equations.
5=2(1)+3
5=2+3
5=5