Option C is correct.
She is not correct as she use the wrong y intercepts when graphing the equations.
Given the system of equations:
equate these two equations we get;
Add 5 to both sides we get;
Add 2x to both sides we have;
Multiply both sides by 3 we get;
8x = 24
Divide both sides by 8 we get;
x = 3
Substitute the value of x in  we have;
y = -2(3)+3 = -6+3
y = -3
Therefore, the correct solution for this given system of equation is (3, -3)
You can see the graph of these equations below.
(C) No, she use the wrong y intercepts when graphing the equations.
The given equations are:
Now, for graphing both the equations, we use hit and trial method by substituting the various values of x in the given equations,
When x=0, , when x =3,
When x=0, , when x=3,
Thus, the solution of both the equations is (3,-3).
Hence, option (C) No, she use the wrong y intercepts when graphing the equations is correct.
a. is correct