Question

How do you solve `4v - \frac { 3} { 5} = - \frac { 1} { 3} v - \frac { 7} { 5}`?

Answer 1

`v = -12/65`

Explanation:

First, perform the necessary mathematics to get the `v` terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`4v - 3/5 + 3/5 + 1/3v = -1/3v - 7/5 +3/5 + 1/3v`

`4v + 1/3v = - 7/5 + 3/5`

`4v + 1/3v = -4/5`

Next we need to get the `v` terms over a common denominator (in this case 3) so we can combine the `v` terms:

`3/3 * 4v + 1/3v = -4/5`

`12/3v + 1/3v = -4/5`

`13/3v = -4/5`

Finally we can multiple each side of the equation by `3/13` to solve for `v` while keeping the equation balanced:

`13/3 * 3/13 v = -4/5 * 3/13`

`v = -12/65`