The graphs represent this system:  

y=3x−2

−3x+y=7  

How many solutions does this system have: 0, 1, or ∞ ?

1 answer

The two equations can be represented by the following system:

1) y = 3x - 2
2) -3x + y = 7

We can rewrite equation 2 in terms of y:

2) y = 3x + 7

The two equations are represented by two lines on a coordinate plane. The first equation has a slope of 3 and a y-intercept of -2. The second equation also has a slope of 3 but a y-intercept of 7.

Since the slopes are the same, the lines are parallel and will never intersect. Therefore, there are no solutions to this system.

The answer is 0.