Question

Solve for y in terms of x.

Answer 1

Answer:

$y=\frac{3}{2} x+6$

Step-by-step explanation:

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

$\frac{2}{3} y-4=x$

Taking the constant 4 to the side where x is to get:

$\frac{2}{3} y=x+4$

Multiplying the denominator 3 to the other side of the equation to get:

$2y=3x+12$

Isolating y to make it the subject:

$y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6$