Answer:
[tex] \frac{11}{6} [/tex]
Step-by-step 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.
[tex]4x - \frac{1}{3} + \frac{1}{3} = \frac{7}{1} + \frac{1}{3} [/tex]
[tex] \implies \ 4x = \frac{7}{1} + \frac{1}{3} [/tex]
We then simplify the the right hand side of the equation
[tex] \implies 4x = \frac{21 + 1}{3} [/tex]
[tex]\implies 4x = \frac{22}{3} [/tex]
To find x, we multiply through by 1/4
[tex]\implies \frac{1}{4} \times 4x = \frac{22}{3} \times \frac{1}{4} [/tex]
[tex]\implies x = \frac{22}{12}[/tex]
[tex]\implies x = \frac{11}{6}[/tex]
Hence the solution set in the simplest form for the expression is
{x=11/2}
