First, since both of the equations are equal to y you can set the equations equal to each other.
y=-2x +1
y=-2x^2 + 3x +1
-2x + 1= -2x^2 + 3x + 1
Second, add 2x^2 and subtract 3x and 1 from both sides.
-2x + 1 = -2x^2 + 3x + 1
-3x -1 +2x^2 +2x^2 -3x -1
________________
2x^2 - 5x = 0
Third, factor out an x.
x(2x - 5) = 0
Fourth, solve for x by setting each factor equal to 0.
x= 0 2x-5=0
+5 +5
_______
2x = 5
---- ----
2 2
________
x=5/2
So the values of x that satisfy the system of equations is 0 and 5/2.
This question makes no sense, If you mean we are trying to find Rugby, then yes I get that but, Football was only mention once, and once only. I think it's possibly 72 students chose Rugby. The First equation is basically useless unless you are given an Idea of the fact that we need to use the first equation. If that is the case then 12 people chose football. If I didn't help I apologize for that but I was given a question I couldn't make sense of.
First, we have to find how many different letters does the world alphabet have, we are not going to count the letters that repeat.
It has 7 different letters (not 8, because the letter "A" appears two times.
The formula would be:
That's your answer!