Question

Solve for y in terms of x.

2/3y - 4 = x

y = x + 6
y = -x + 4
y = -x + 6
y = x + 4

Answer 1

`y=(3)/(2) x+6`

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:

`(2)/(3) y-4=x`

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

`(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=(3)/(2) x+(12)/(2)\\ \\y=(3)/(2) x+6`