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