SOLUTION: Solve for X and Y : 8/x + 6/y = 6 and 1/x + 1/y = 1/6

Question 842617: Solve for X and Y :
8/x + 6/y = 6 and 1/x + 1/y = 1/6
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
8/x + 6/y = 6 and 1/x + 1/y = 1/6
8/x + 6/y = 6 and 1/x + 1/y = 1/6
multiply the second equation by 36
36( 1/x + 1/y = 1/6 ) = 36/x + 36/y = 6
Since 8/x + 6/y = 6
8/x + 6/y = 36/x + 36/y
add -8/x -6/y to each side
0 = 28/x + 30/y
add -30/y to each side

do cross products
28y = -30x
divide by 28
y =
substitute for y in 1/x + 1/y = 1/6

do cross products
30x=12
divide each side by 30
x = 12/30 = 2/5
We previously determined that y = ,
so substituting 2/5 for x we have
y =
y = =
summarizing x = 2/5 , y = -3/7
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