SOLUTION: okay, so i have this problem and it is 1/x - 3/y = 2 6/x + 5/y = -34 1/x = u and 1/y = v please help.

Algebra ->  College  -> Linear Algebra -> SOLUTION: okay, so i have this problem and it is 1/x - 3/y = 2 6/x + 5/y = -34 1/x = u and 1/y = v please help.       Log On


   

Question 375639: okay, so i have this problem and it is 1/x - 3/y = 2
6/x + 5/y = -34
1/x = u and 1/y = v
please help.

Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
1/x - 3/y = 2
6/x + 5/y = -34

u = 1/x, v = 1/y

u-3v = 2
6u+5v = -34


-6u+18v = -12
6u+5v = -34



Add equations: 23v = -46

v = -46/(-23) = -2

v = -2

u-3v = 2 ----> u-3(-2)=2 ---> u = 2-6 = -4

u = -4


u = 1/x ----> -4=1/x ----> x = -1/4
v = 1/y ----> -2=1/y ----> y = -1/2


Answers: x = -1/4, y = -1/2