Given:
The equation is:
[tex]\dfrac{5}{7}y=6[/tex]
To find:
The solution of the given equation by using the reciprocals.
Solution:
We have,
[tex]\dfrac{5}{7}y=6[/tex]
We need to multiply both sides by the reciprocal of [tex]\dfrac{5}{7}[/tex] to isolate the variable x.
The reciprocal of [tex]\dfrac{5}{7}[/tex] is [tex]\dfrac{7}{5}[/tex]. So, multiplying both sides by [tex]\dfrac{7}{5}[/tex], we get
[tex]\dfrac{5}{7}y\times \dfrac{7}{5}=6\times \dfrac{7}{5}[/tex]
[tex]y=\dfrac{42}{5}[/tex]
[tex]y=8.4[/tex]
Therefore, the value of y is 8.4.
