​ y=3x+3 y=−2x+3 ​ how many solutions does the system have

One solution

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

These two lines have different slopes but the same y-intercept (condition c)

So they have one solution