SOLUTION: 1/x+1/y=8 3/x-5/y=0 how do i solve this system of equations?

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Question 351658: 1/x+1/y=8
3/x-5/y=0
how do i solve this system of equations?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
*note: one way would be using cramers rule to solve this system of equations: which is eliminating one the of the variables by adding the two equations together.
1/x+1/y=8
3/x-5/y=0
.
first you would need to multiply @ term in the first equation by 5
%285%2A1%2Fx%29%2B%285%2A1%2Fy%29=+40
%283%2Fx%29-%285%2Fy%29=+0
.
%285%2Fx%29%2B%285%2Fy%29=+40
%283%2Fx%29-%285%2Fy%29=+0
.
8/x = 40
8 = 40*x
x = 8/40 = 1/5
.
Substitute x to solve for y;
3/x-5/y=0
15 = 5/y
y = 5/15 = 1/3