Question

Mark (✓) against the correct answer
If $2x+\frac{5}{3}=\frac{1}{4}x+4,$ then x = ?
(a) 3
(b) 4
(c) $\frac{3}{4}$
(d) $\frac{4}{3}$

Answer 1

$$\begin{gathered} \left(\mathrm{d}\right)\frac{4}{3} \\ \begin{array}{l}2x+\frac{5}{3}=\frac{1}{4}x+4\\ \Rightarrow \text{2}x-\frac{1}{4}x=4-\frac{5}{3}\\ \Rightarrow \frac{8x-1x}{4}\text{=}\frac{12-5}{3}\\ \Rightarrow \frac{7x}{4}=\frac{7}{3}\\ \Rightarrow 21x=28\\ \Rightarrow x=\frac{\sout{2}{\sout{8}}^4}{\sout{2}{\sout{1}}_3}=\frac{4}{3}\\ \end{array} \end{gathered}$$