Question

Solve the system: 3x^2 - 6y^2 = 9 and x^2 + 5y^2 = 53

Answer 1

do you know how to solve simultaneous equations?

Answer 2

if you do, then you could first let:

a = x^2
b = y^2

and solve the system:

3a - 6b = 9
a + 5b = 53

to find a and b, then find x and y from these.