Answer:
[tex]\Large \boxed{y = x^2 + 3 x - 5 \ \ \mathrm{and} \ \ x + y = -10}[/tex]
Step-by-step explanation:
y = x² + 3 x - 5 and x + y = -10 are the system of equations that do not have a real solution.
When the two equations are graphed and if they do not intersect, then there are no real solutions for the system of equations.