Question

2/x+3/y=13 5/x-4/y=-2​

Answer 1

Step-by-step explanation:

let, 1/x=u & 1/y=v

hence, 2u+3v=13.......(i)&

5u-4y=-2........(ii)

apply elimination method

then (i)×5=10u+15v=65

(ii)×2=10u-8y=-4

Now (i)-(ii) = 23v=69

v=3

putting the value of v in equation (i)

2u+3×3=13

=2u=4

=u=2

so, 1/x=u, 1/y=v

1/x=2,1/y=3

x=1/2 & y=1/3