SOLUTION: how to solve this equation using substitution method? with checking. 1/x + 1/y=0 2/x + 5/y=-6

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Question 380875: how to solve this equation using substitution method? with checking.
1/x + 1/y=0
2/x + 5/y=-6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution,
let u=1%2Fx and v=1%2Fy.
1.u%2Bv=0
2.2u%2B5v=-6
From eq. 1,
u=-v
Substitute into eq. 2,
-2v%2B5v=-6
3v=-6
v=-2
1%2Fy=-2
highlight%28y=-1%2F2%29
Then from eq. 1,
u=-%28-2%29
u=2
1%2Fx=2
highlight%28x=1%2F2%29