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.
The graphs represent this system:
y=3x−2
−3x+y=7
How many solutions does this system have: 0, 1, or ∞ ?
1 answer