Question

10/x+y+2/x-y=4,15/x+y-9/x-y=-2 by substitution method​

Answer 1

let one upon X + Y is equal to M and one upon x minus Y is equal to n.

x = 21/8

y = 9/8

Answer 2

Answer:

Step-by-step explanation:

Given,

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

15/x+y-9/x-y=-2

Let,

1/x+y=a, 1/x-y=b

So,by substituting in the equation we get,

10a+2b=4

15a-9b=-2

Multiplying the "a" coefficients in reverse order to get the anwer,

15[ 10a+2b=4]

10[15a-9b=-2]

150a+30b=60

150a-90b=-20

So we get,

120b=80

b=80/120

b=2/3

Substituting in the equation

15a-9(2/3)=-2

15a=-2+6

a=4/15

1/x+y=4/15

4x+4y=15

1/x-y=2/3

2x-2y=3

Solving the equations

4x+4y=15

2x-2y=3

8x+8y=30

8x-8y=12

16y=18

y=18/16

y=9/8

Substituting,

2x-2(9/8)=3

2x-9/4=3

2x=3+9/4

2x=21/4

x=21×2/4

x=21/2

Hence the values of x and y are 21/2 and 9/8