Question

What is the value of x in the equation 1/3x − 2/3 =− 18?

Answer 1

x = -52

Explanation:

`(1)/(3)x-(2)/(3)=-18`

Let us solve for x.

`(1)/(3)x=-18+(2)/(3)`

`(1)/(3)x=-(18*3)/(1*3) +(2)/(3)`

`(1)/(3)x=-(54)/(3) +(2)/(3)`

`(1)/(3)x=(-54+2)/(3)`

`(1)/(3)x=(-52)/(3)`

Use cross multiplication to find the value of x.

`(1x)/(3)=(-52)/(3)`

`3*1x=3*-52`

`3x=-156`

Divide both sides by 3.

x = - 52