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Answer:
x = -1/2 and y= 1/2
Step-by-step explanation:
7/x + 8/y = 2 and 2/x + 13/y = 22
let 1/x = m and 1/y = n
then
7m + 8n = 2 and 2m + 13n = 22
multiply equation (1) by 2 and equation (2) by 7
14m+16n=4 and 14m+91n = 154
subtract them
14m-14m+16n-91n = 4-154
-75n = -150
n = 2
7m + 8(2) = 2
7m +16 = 2
7m = 2-16
7m= -14
m=-2
1/x = m
1/x = -2
x = -1/2
1/y =n
1/y = 2
y = 1/2
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