Question

Solve and express the solution set in simplest form.

4x−1/3=7/1


{4/3}

{3/2}

{7/3}

{11/2}

Answer 1

`(11)/(6)`

Explanation:

The equation to be solve is

4x−1/3=7/1

We can go about this by first adding 1/3 to both sides.

`4x - (1)/(3) + (1)/(3) = (7)/(1) + (1)/(3)`

`\implies \ 4x = (7)/(1) + (1)/(3)`

We then simplify the the right hand side of the equation

`\implies 4x = (21 + 1)/(3)`

`\implies 4x = (22)/(3)`

To find x, we multiply through by 1/4

`\implies (1)/(4) * 4x = (22)/(3) * (1)/(4)`

`\implies x = (22)/(12)`

`\implies x = (11)/(6)`

Hence the solution set in the simplest form for the expression is

{x=11/2}