Question

10/x+y +2/x-y=4
15/x+y+5/x-y=-2

Answer 1

x = 7/24

y = 2

Step-by-step explanation:

let 1/x+y be 'a' and 1/x-y be 'b'

then equation becomes,

10a + 2b = 4 ______(i)

15a + 5b = -2 ______(ii)

3 × (i) => 30a + 6b = 12 ______(iii)

2 × (ii) => 30a + 10b = -4 ______(iv)

(iii) - (iv) => -4b = 16

=> b = 16/-4 = -4

Substitute b= -4 in (i),

10a - 8 = 4

= 10a = 4 + 8 = 12

=> a = 12/10

a = 12/10 = 1/x+y

x + y = 10/12

Multiply with 12,

= 12x + 12y = 10 __________(v)

b = -4 = 1/x-y

x - y = -1/4

Multiply with 4,

4x - 4y = -1 _______(vi)

Multiply (vi) with 3 ,

= 12x - 12y = -3 ___________(vii)

(v) + (vii) => 24x = 7

=> x = 7/24

Substitute x=7/4 in (vi) ,

=> 7 - 4y = -1

=> -4y = -1 - 7 = -8

=> y = -8/-4 = 2

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Answer 2

Step-by-step explanation:

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