Question

Solve for y in terms of x. Determine if y is a function of x. If it is, rewrite using f(x) notation. If not, enter ND in the answer field.

7x-5y=2

Answer 1

y = (7x-2)/5

Explanation:

Given the expression 7x-5y = 2, we are to write y in terms of x. to do that, we will have to make y the subject of the formula from the given expression as shown;

7x-5y = 2

subtract 7x from both sides of the equation

7x-5y-7x = 2-7x

-5y = 2-7x

Multiply through by minus sign

-(-5y) = -(2-7x)

5y = -2+7x

5y = 7x-2

Divide both side by 5;

5y/5 = (7x-2)/5

y = (7x-2)/5

Hence the expression y as a function of x is given as y = (7x-2)/5