Determine the number of solutions to this system of linear equations (0, 1, infinity):
y=3x-7
y=-2x+5
To determine the number of solutions to this system of linear equations, we can compare the slopes of the two lines.
The first equation, y = 3x - 7, has a slope of 3, meaning that it is a line that is increasing as x increases.
The second equation, y = -2x + 5, has a slope of -2, meaning that it is a line that is decreasing as x increases.
Since the slopes are different, the two lines will intersect at exactly one point. Therefore, the number of solutions to this system of linear equations is 1.