Question

Mark (✓) against the correct answer

If $\frac{2x-1}{3}=\frac{x-2}{3}+1,$ then x = ?

(a) 2
(b) 4
(c) 6
(d) 8

Answer 1

$\begin{array}{l}\left(\text{a}\right)2\\ \text{We have:}\\ \frac{2x-1}{3}=\frac{x-2}{3}+1\\ \Rightarrow \frac{2x-1}{3}=\frac{(x-2)+3}{3}\\ \Rightarrow 3(2x-1)=3(x+1)\\ \Rightarrow 6x-3=3x+3\\ \Rightarrow 6x-3x=3+3\\ \Rightarrow 3x=6\\ \Rightarrow x=\frac{{\sout{6}}^2}{\begin{array}{l}{\sout{3}}_1\\ =2\end{array}}\end{array}$