Express in the equation 5x-3y = 2 the variable x through y and the variable y through x.

To express one variable through another, you must first leave the term containing the variable to be expressed on the left side of the equality, and transfer all other terms of the original equality to the right side. Then it remains only to divide the new equality by the coefficient of the variable being expressed.

1) Let’s express the variable x in terms of the variable y:

5 * x – 3 * y = 2;
5 * x = 2 + 3 * y | : five;
x = (3 * y + 2) / 5.

2) Let’s express the variable y through the variable x:

5 * x – 3 * y = 2;
3 * y = 5 * x – 2;
y = (5 * x – 2) / 3.