Question 4
find the values of x and y that satisfy 3x - 1 + 2y = 0 and 3x2 - y2 + 4 = 0. use the algebraic method to find the solution, and then use the graphing method to confirm whether the system of equations has real roots.

No real roots

Step-by-step explanation:

The given equations are:

We make y the subject in the first equation to get

We substitute into the second expression to get:

We expand to get:

Multiply through by 4 to get:

The discriminant is given by

Since the discriminant is less than zero, the two curves never intersects.

Therefore the system has no real roots