Question

solve 4/x+5/y=3,6/x-10/y=1
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Answer 1

Answer:

Let 1/x & 1/y is to be m & n respectively

so we get following equations

4× 1/x + 5× 1/y = 3

:. 4m +5n = 3.......(i)

6× 1/x - 10× 1/y =1

:. 6m - 10n =1..........(ii)

Now,

Multiplying equation (i) by 2 and then adding it in equation (ii)

2(4m + 5n = 3)

:. 8m + 10n = 6

6m -10n =1

+ 8m +10n=6

14m = 7

:. 14m =7

:. m =7/14

:. [m = 1/2]

Now putting value of m in equation (i)

4m + 5n = 3

:. 4(1/2) +5n =3

:. 2 + 5n = 3

:. 5n =3 - 2

:. 5n= 1

:.[ n= 1/5]

We assume that,

m = 1/x

:.1/2 =1/x

:. [x =2]

n = 1/y

:. 1/5 = 1/y

:. [ y = 5]

Step-by-step explanation:

I hope you will understand this sum dear.