Answer:
[tex] w = \frac{11}{35} [/tex]
Step-by-step explanation:
To solve, [tex] \frac{3}{5w} - \frac{2}{7w} = 1 [/tex], make both fractions on your left as one fraction by finding a common denominator.
Common denominator of 5w and 7w is 35w
Thus,
[tex] \frac{7(3) -5(2)}{35w} = 1 [/tex]
[tex] \frac{21 - 10}{35w} = 1 [/tex]
[tex] \frac{11}{35w} = 1 [/tex]
Multiply both sides by 35w
[tex] \frac{11}{35w}*35w = 1*35w [/tex]
[tex] 11 = 35w [/tex]
Divide both sides by 35
[tex] \frac{11}{35} = \frac{35w}{35} [/tex]
[tex] \frac{11}{35} = w [/tex]
[tex] w = \frac{11}{35} [/tex]
