Question
Solve:
$3\text{x}+\frac{2\text{}}{3}=2\text{x}+1$
$3\text{x}+\frac{2\text{}}{3}=2\text{x}+1$
✓
Answer
$3\text{x}+\frac{2\text{}}{3}=2\text{x}+1$
By cross multiplication:
$\Rightarrow 3\text{x} - 2\text{x} = 1 -\frac{ 2}{3}$
$ \Rightarrow \text{x} = \frac{1}{1} - \frac{2}{3}$ $\text{L.C.M}\text{ of }1\text{ and }3\text{ is }3$
$\Rightarrow\text{x}=\frac{3-2}{3}$
$\Rightarrow\text{x}=\frac{1}{3}$
$\therefore\text{x}=\frac{1}{3}$
By cross multiplication:
$\Rightarrow 3\text{x} - 2\text{x} = 1 -\frac{ 2}{3}$
$ \Rightarrow \text{x} = \frac{1}{1} - \frac{2}{3}$ $\text{L.C.M}\text{ of }1\text{ and }3\text{ is }3$
$\Rightarrow\text{x}=\frac{3-2}{3}$
$\Rightarrow\text{x}=\frac{1}{3}$
$\therefore\text{x}=\frac{1}{3}$
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