Answer:
Step-by-step explanation:
The two equations are
[tex]y = \frac{5}{2} x + 2 $[/tex] ......(1)
2y = [tex]$ 5x + 8 $[/tex] ......(2)
Equation (2) can be written as:
y = [tex]$ \frac{5}{2}x + \frac{8}{2} = \frac{5}{2}x + 4 $[/tex]
Now these two equations represent a pair of parallel lines.
The equations of any two parallel line differ only by a constant.
Since, these are equations of parallel lines, they don't intersect. If they don't intersect they cannot have solutions.
⇒ The given system of equations has zero solutions.
