### From Homeworkwiki

**If 2 x / a + y / 2b = 4 and 3 x = 2 y = a = 6; find the value of b.**

**Solution:**

Given, 3 x = 2 y = a = 6

x = 2, y = 3 and a = 6

Therefore, 2 x / a + y / 2b = 4

=> 2 X 2 / 6 + 3 / 2b = 4

=> 3 / 2b = 4 - 2 / 3

=> 3 / 2b = 10 / 3

=> **b = 9 / 20**