Math problem help alg2

2/x2 + 1/y2 = 11, 4/x2 - 2/y2 = -14 solve for x and y

2/x^2 + 1/y^2 = 11
4/x^2 - 2/y^2 = - 14

1/x^2 = a, 1/y^2 = b

2*a + b = 11, multiply by 2
4*a - 2*b = - 14

4*a + 2*b = 22
4*a - 2*b = - 14
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8*a = 8

a = 1

2*a + b = 11

b = 9

1/x^2 = a, 1/y^2 = b

1/x^2 = 1, x^2 = 1, x = ± 1

1/y^2 = 9

y^2 = 1/9, y = ± 1/3

MULTIPLY BY 2 EQUATION 1

4/ x^2 + 2/ y^2 = 22
4/x^2 -2 / y^2 = -14

ADD

8/x^2 = 8

x^2 = 1

x = +1 OR -1 ANSWER

1/y^2 = 9

9y^2 = 1
y^2 = 1/9

y = + 1/3 Or - 1/3 ANSWER

u=1/x2 v=1y2

2u+v=11
4u-2v=-14

4u+2v=22
4u-2v=-14
_________
8u=8
u=1

2(1)+v=11
v=9


x2=1 y2=1/9