Question

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

Answer 1

No solutions.

Explanation:

y = 5/2x + 2

2y = 5x + 8

Plug the first equation into the second.

2(5/2x + 2) = 5x +8

5x + 4 = 5x + 8

5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.