SOLUTION: I need help with this problem. I am not sure what the symbol is or means. I have never seen it in any of my math classes. It is suppose to look like a small letter c in fancy scrip

Algebra ->  Equations -> SOLUTION: I need help with this problem. I am not sure what the symbol is or means. I have never seen it in any of my math classes. It is suppose to look like a small letter c in fancy scrip      Log On


   

Question 887471: I need help with this problem. I am not sure what the symbol is or means. I have never seen it in any of my math classes. It is suppose to look like a small letter c in fancy script. There is a small curl at the top of the c. What does it mean when asking to solve over this symbol?
Solve over c (fancy script)
x^2 - y^2 = 9
-3 = x - 2y
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
A guess about what your fancy script "c" mean...?....? Not sure, but the system of equations can be examined.

x%5E2-y%5E2=9 is a hyperbola. Solve the other equation for either variable and substitute.
x=2y-3;
%282y-3%29%5E2-y%5E2=9
4y%5E2-12y%2B9-y%5E2=9
3y%5E2-12y=0
y%5E2-4y=0
y%28y-4%29=0
Either y=0 Or y-4=0, y=4

The x corresponding to y=0 should be x=2%2A0-3=-3, for the point (-3,0).

The x corresponding to y=4 is x=2%2A4-3=5 for the point (5,4).

These can be both considered Complex solutions as well as Real solutions, but the way you describe you fancy c, does not seem to mean Complex. The solutions are also Real because they contain no imaginary part.