Question

if 2/x + 3/y = 13 And 5/x - 4/y= -2, then (x,y) =​

Answer 1

Answer:

(1/2,1/3)

Step-by-step explanation:

1/x=a 1/y=b

2a+3b=13____(1)

5a-4b =-2____(2)

multiply (1) with 5 and (2) with 2

10a+15b=65

10a-8b =-4

- + +

_________

23b=69

b=3

so 2a+3b=13 2a=13-3(3)=13-9=4

a=4/2=2 so a=2

a=2 b=3

1/x=2 1/y=3

x=1/2 and y=1/3

Answer 2

Answer:

(1/2,1/3)

1/x=a 1/y=b

2a+3b=13____(1)

5a-4b =-2____(2)

multiply (1) with 5 and (2) with 2

10a+15b=65

10a-8b =-4

- + +

_________

23b=69

b=3

so 2a+3b=13 2a=13-3(3)=13-9=4

a=4/2=2 so a=2

a=2 b=3

1/x=2 1/y=3

x=1/2 and y=1/3