You can solve this question graphically.
First, plot all graphs of given functions:
- \(y - x + 2 = x^2 \Rightarrow y=x^2+x-2\) - red curve;
- \(y = -3x -3\) - blue line;
- \(y = -2x -3\) - green line;
- \(y = 2x -3\) - orange line;
- \(y = 3x -3\) - violet line.
Then see whether parabola and line have common points. Only orange line doesn't intersect red curve, this means that system
\(\left\{\begin {array} {l}y=x^2+x-2 \\y=2x-3\end{array}\right.\)
have no solution.
Answer: correct choice is C.
