t^2 + k^2 = 9

Question

2t^2 - 5k^2 = 6

Solve the simultaneous equations

Thanks

Answer 1

multiply 1st eqn by 5 ... 5t^2 + 5k^2 = 45

add eqns (to eliminate k) ... 7t^2 = 51

solve for t , substitute back to find k

should be two solutions for each unknown