Question

Use the substitutions u= 1/x^2 and v= 1/y^2 to solve the system of equations. express numbers as integers or simplified fractions.

-5/x^2 + 1/y^2 =-16
13/x^2- 1/y^2 =48

Answer 1

-5 u + 1 v = (-16)

12 u - 1v = 48

adding,

7 u = 32

u = 32/7

V = (-16) + 5(32/7)

V = (-16) +160/7

V = -112 + 160/7

V = 48/7