Answer:
Exactly 1 solution
Step-by-step explanation:
The equations are both in slope intercept form: y=mx+b We can use the y-intercept and slope to identify points on each line.
The line given by the first equation y= 1x+1 has a y-intercept of (0, 1) and a slope of 1, so another point on that line is (0 + 1, 1 + 1)= (1, 2).
Now we have two points to graph this line. In a similar manner, we will find that the line given by y=2x-5 passes through (0, -5) and (0 + 1, -5 + 2)= (1, -3). We can use those lines to graph the points.
Upon graphing our system of equations, we see that the lines intersect exactly once.
Since the lines intersect exactly once, the system has exactly one solution.
