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.

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.