If a/b = 6/7 and a/c = 2/5 , what is the value of 3b+c in terms of a?

6a = 3b + c

Step-by-step explanation:

1. Cross multiply each equation to get 7a = 6b and 5a = 2c.

2. Add the two equations: 7a + 5a = 6b + 2c

If we add the like terms, it will be 12a = 6b + 2c.

3. Since we want 3b + c, we can divide the whole equation by 2.

1. b = (−1 / 6) c + (7 / 16)

2. b = (−1 / 5) c + (31 / 120)