2/x-3/y=15 8/x+5/y=77
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Answer:
X=1/6
Y=1
Step-by-step explanation:
2/X -3/Y = 15
8/X +5/Y = 77
Let, 1/X=m ----- eq 1 and 1/Y=n --------- eq 2
so, 2m - 3n = 15 -------- eq 3
8m +5n = 77 ------- eq 4
(eq 4) - 4(eg 3)
8m + 5n - 8m + 12n = 77 - 60
17n = 17
n=1
putting n in eq 3
2m - 3*1 = 15
2m = 12
m = 6
putting value of m in eq 1 and value of n in eq 2
1/X = m
1/X = 6
X = 1/6
1/Y = n
1/Y = 1
Y = 1
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