Question

If $(\frac{x}{3}+1,y-\frac{2}{3})=(\frac{5}{3},\frac{1}{3})$ find the values of x and y

Answer 1

It is given that $(\frac{x}{3}+1,y-\frac{2}{3})=(\frac{5}{3},\frac{1}{3})$
Since the ordered pairs are equal the corresponding element will also be equal
Therefore $\frac{x}{3}+1=\frac{5}{3}$ and $y-\frac{2}{3}=\frac{1}{3}$

$\Rightarrow y=1$
$\Rightarrow \frac{x}{3}+1=\frac{5}{3}$

$\Rightarrow x=2$
$\therefore x=2$ and $y=1$