Question

Solve for 3/(5w) - 2/(7w) = 1 If there is more than one solution , separate them with commas . If there is no solution , click on "No solution ".

Answer 1

`w = (11)/(35)`

Explanation:

To solve,
`(3)/(5w) - (2)/(7w) = 1`, make both fractions on your left as one fraction by finding a common denominator.

Common denominator of 5w and 7w is 35w

Thus,

`(7(3) -5(2))/(35w) = 1`

`(21 - 10)/(35w) = 1`

`(11)/(35w) = 1`

Multiply both sides by 35w

`(11)/(35w)*35w = 1*35w`

`11 = 35w`

Divide both sides by 35

`(11)/(35) = (35w)/(35)`

`(11)/(35) = w`

`w = (11)/(35)`