Question

1/2x+1/3y=2
1/3x+1/2y=13/6​

Answer 1

let 1/x=k,1/y=m

k/2+m/3=2

k/3+m/2=13/6

3k+2m=2*6

2k+3m=13....(2)

3k+2m=12....(1)

2(3k+2m)=2*12=24

6k+4m=24......(3)

3(2k+3m)=3*13

6k+9m=39......(4)

subtracting(3) from (4)

we have

6k-6k+9m-4m=39-24

5m=15

m=3

6k+12=24

6k=24-12

6k=12

k=2

1/x=2

x=1/2=0.5

1/y=3

y=1/3