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.
Determine the number of solutions to this system of linear equations (0, 1, infinity):
y=3x-7
y=-2x+5
1 answer
2 answers