How many solutions does the system have? {y=−2x+2y=x2−3x enter your answer in the box.

ANSWER

The system has two solutions.

EXPLANATION

The given equations are



and



We equate both equations to obtain;



This implies that,





where a=1, b=-1,c=-2.

We find the discriminant, D=b²-4ac of this equation to be;



Since the discriminant is greater than zero, it means the two functions intersected at two distinct points.

Hence the system has two solutions.