Question

1/x+1/y=6, 1/y+1/z=7 and 1/z+1/x=5... SOLVE FOR x,y,z...​

Answer 1

Step-by-step explanation:

1/x+1/y=6.......(1)

1/y+1/z=7........(2)

1/z+1/x=5.......(3)

Adding (1), (2), (3) we get

2(1/x+1/y + 1/z) = 18

1/x+1/y + 1/z = 9......(4)

Subtracting (1) from (4)

1/z = 3

so z = 1/3

Now, Subtracting (2) from (4)

1/x = 2

So, x = 1/2

Now subtracting (3) from (4)

1/y = 4

y = 1/4