Question
Solve: $\frac{2 x+1}{3 x-2}=1 \frac{1}{4}$
✓
Answer
$ \begin{aligned} & \frac{2 x+1}{3 x-2}=1 \frac{1}{4} \\ & \Rightarrow \frac{2 x+1}{3 x-2}=\frac{5}{4} \end{aligned} $
By cross multiplication
$ \begin{aligned} & (3 x-2) \times 5=4(2 x+1) \\ & \Rightarrow 15 x-10=8 x+4 \\ & \Rightarrow 15 x-8 x=4+10 \\ & \Rightarrow 7 x=14 \\ & \Rightarrow x=\frac{14}{7}=2 \end{aligned} $
$ \therefore x=2 $
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