Question

Q.22 Solve 2/x+3/y=13, 5/x-4/y= -2
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Answer 1

Answer:

x = 1/2 y =1/3

Step-by-step explanation:

let 1/x =a and 1/y = b

2a+3b = 13-----(1) 5a-4b = -2------(2)

from equation (1) and (2)

2a + 3b = 13 ×5

5a - 4b = -2 ×2

10a + 15b = 65

10a - 8b = -4

(-) (+) (+)

___________

0 + 23b = 69

b = 69/23

b = 3----------(3)

put (3) in (1)

2a + 3(3) = 13

2a + 9 = 13

2a = 13-9

2a = 4

a=4/2

a=2

1/x=a 1/y=b

1/x=2 1/y=3

x=1/2 y=1/3