Question

How many solutions does the following system of equations have? y=5/2x+2 2y=5x+8

Answer 1

The system of equations has no solution.

Step-by-step explanation:

First, let's rewrite the second equation in slope-intercept form:

2y = 5x + 8

y = (5/2)x + 4

Now we can see that both equations have the same slope (5/2), but different y-intercepts (2 and 4). Since the slopes are the same, the lines are parallel and will never intersect. Therefore, this system of equations has no solution.

Answer 2

Zero Solutions

Since the two lines have equal slopes and different intercepts