Question 375639
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