If 2 x = 3 y = 6 -z , prove that 1/x + 1/y + 1/z = 0

Let 2 x = 3 y = 6 -z = k. ......(i) ......(ii) ......(iii) We know that, 2 × 3 = 6 Substituting value of 2, 3 and 6 from (i), (ii) and (iii) in above equation we get, Hence, proved that .