Question

Toy It Examine the worked problem and solve the equation. 4 4 1 (x) 1 = 9 3 3 1 1 + 3 3 4 3 :9+ 3 3 28 The solution is x=

Answer 1

Given:

$\frac{4}{3}(x)-\frac{1}{3}=9$

Let's evaluate and solve for x.

First step:

Add 1/3 to both sides of the equation

$\begin{gathered} \frac{4}{3}(x)-\frac{1}{3}+\frac{1}{3}=9+\frac{1}{3} \\ \\ \frac{4}{3}(x)=\frac{28}{3} \end{gathered}$

Cross multiply:

$\begin{gathered} 4x(3)\text{ = 28(3)} \\ \\ 12x\text{ = }84 \end{gathered}$

Divide both sides by 12:

$\begin{gathered} \frac{12x}{12}=\frac{84}{12} \\ \\ x=7 \end{gathered}$

ANSWER:

x = 7