Answer:
Option: C is the correct answer.
[tex]y=\dfrac{5x}{7}-\dfrac{10}{7}[/tex]
Step-by-step explanation:
We are given a linear equation in terms of variable x and y as:
[tex]5x-7y=10[/tex]
Now, we are asked to solve the equation for y i.e. we are asked to find the value of y in terms of the variable x.
Now, we add 7y on both the sides of the equation to get:
[tex]5x=10+7y\\\\i.e.\\\\10+7y=5x[/tex]
Now, we subtract 10 from both the sides of the equation to get:
[tex]7y=5x-10[/tex]
Now, we divide both side of the equation by 7 to get:
[tex]y=\dfrac{5x-10}{7}\\\\\\i.e.\\\\\\y=\dfrac{5x}{7}-\dfrac{10}{7}[/tex]
