Question

Solve the equation for y. 5x – 7y = 10 A. y=-7/5x-7/10 B.y=7/5x 10/5 C. 5/7x-10/7 D. -5x-7

Answer 1

Answer:

Option: C is the correct answer.

          $y=\dfrac{5x}{7}-\dfrac{10}{7}$

Step-by-step explanation:

We are given a linear equation in terms of variable x and y as:

$5x-7y=10$

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:

$5x=10+7y\\\\i.e.\\\\10+7y=5x$

Now, we subtract 10 from both the sides of the equation to get:

$7y=5x-10$

Now, we divide both side of the equation by 7 to get:

$y=\dfrac{5x-10}{7}\\\\\\i.e.\\\\\\y=\dfrac{5x}{7}-\dfrac{10}{7}$

Answer 2

5x-7y=10
-7y=10-5x
y=(10-5x)/-7
y=10/-7-5x/-7
y=5x/7-10/7
hence C is correct option