Question

12). Solve for x and y
38/x+y +21/x-y=9
57/x+y +6/x-y=5​

Answer 1

Answer:

x=11,y=9

Step-by-step explanation:

38/x+y +21/x-y=9

57/x+y +6/x-y=5​

Let 1/x+y= a and 1/x-y=b

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so

38a+21b=9-----------------(1)

57a+ 6b=5-----------------(2)

multiply (1) by 2 and (2) by 7

76a+42b=18----------(3)

399a+42b=35-------------(4)

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subtracting  (3) from (4)we get

323a=17

a=1/19

from(2)

57*1/19+6b=5

3+6b=5

b=2/6=1/3

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so a=1/x+y=1/19

so x+y=19------------------(5)

b=1/3=1/x-y

x-y=3-------------------(6)

adding (5) and (6)

2x=22,x=11

11+y=19

y=8

hence x=11,y=8

Answer 2

Answer:

X = 11,

Y = 9

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