Linear equations that has no solution and a system of equations that has infinitely many solutions

Answer 1

I assume you want an example of each.

System with no solution: Try any pair of lines with equal slopes but different y-intercepts, such as

y = 2x + 1

y = 2x +3

System with infinitely many solutions:

Try a pair of equations where one equation is a multiple of the other, such as

2x - 3y = 5

10x - 15y = 25