Respuesta :

Answer:

w = - [tex]\frac{15}{7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{6w}[/tex] = [tex]\frac{-7}{18}[/tex] ( cross- multiply )

- 42w = 90 ( divide both sides by - 42 )

w = [tex]\frac{90}{-42}[/tex] = - [tex]\frac{15}{7}[/tex]

Answer:

[tex]w=-\frac{7}{15}[/tex]

Given:

[tex]\frac{5}{6} w=-\frac{7}{18}[/tex]

Step-by-step explanation:

From question, we need to solve the given expression and find the values of ‘w’ which is a variable whose values will change according to the set of given conditions.

The variable can be symbols or letters. The values of the variable will be calculated with the value of the constants whose value never changes with the problem.

Now, we need to bring the fractions on the another sides,

Assuming the variable 'w' is not multiplies in the denominator.

[tex]\Rightarrow w=-\frac{7}{18} \times \frac{6}{5}[/tex]

[tex]\Rightarrow w=-\frac{7}{3} \times \frac{1}{5}[/tex]

Now, the value of the variable ‘w’ is:

[tex]\therefore w=-\frac{7}{15}[/tex]