1: are you serious ?
2: why is there no TZ^2 term in equation(2) ?
3: have you tried setting T=0, thus (as example) equation(1) becoming:
7145.3X^2 - 19700Y^2 = 489
I guess you could rewrite each equation in terms of T, thus getting 4 equalities,
but only a deeply troubled mathematician would try that