Consider the system of quadratic equations

Consider the system of quadratic equations

\(\begin{align*} y &=3x^2 - 5x, \\ y &= 2x^2 - x - c, \end{align*}\)
where  is a real number.

(a) For what value(s) of  will the system have exactly one solution 

(b) For what value(s) of  will the system have more than one real solution?

(c) For what value(s) of  will the system have no real solutions?

Solutions to the quadratics are  pairs. Your answers will be in terms of  but make sure you address both  and  for each part.