Given X & sup2; - 4Y & sup2; = - 15, x + 2Y = 3, find the value of X and y

Given X & sup2; - 4Y & sup2; = - 15, x + 2Y = 3, find the value of X and y

x²-4y²=-15
(x+2y)(x-2y)=-15
3(x-2y)=-15
x-2y=-5
x-2y=-5
x+2y=3
Add the two formulas
2x=-2
x=-1
Substituting x = - 1 into x-2y = - 5
-1-2y=-5
y=2
∴ x=-1
y=2