Question

How do you solve `-\frac { 7} { 3} w - \frac { 4} { 3} = w - \frac { 3} { 4}`?

Answer 1

`w = -7/40`

Explanation:

To solve this first get all the terms with `w` on one side of the equation and the constants on the other side of the equation by performing these operations to keep the equation balanced:

`-(7/3)w + (7/3)w - 4/3 + 3/4 = w + (7/3)w - 3/4 + 3/4`

`-4/3 + 3/4 = w + (7/3)w`

`-16/12 + 9/12 = (3/3)w + (7/3)w`

`(10/3)w = -7/12`

`(3/10)(10/3)w = (3/10)(-7/12)`

`w = -7/40`