If left(frac{x}{3}+1, y-frac{2}{3}right)=left | vedclass

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(A) Given that $\left(\frac{x}{3}+1, y-\frac{2}{3}\right)=\left(\frac{5}{3}, \frac{1}{3}\right)$.Since the ordered pairs are equal,their corresponding

Vedclass · Accepted Answer

$x=2, y=1$

Vedclass · Answer

(A) Given that $\left(\frac{x}{3}+1, y-\frac{2}{3}\right)=\left(\frac{5}{3}, \frac{1}{3}\right)$.Since the ordered pairs are equal,their corresponding elements must be equal.Equating the first components: $\frac{x}{3}+1=\frac{5}{3}$$\Rightarrow \frac{x}{3}=\frac{5}{3}-1$$\Rightarrow \frac{x}{3}=\frac{2}{3}$$\Rightarrow x=2$Equating the second components: $y-\frac{2}{3}=\frac{1}{3}$$\Rightarrow y=\frac{1}{3}+\frac{2}{3}$$\Rightarrow y=\frac{3}{3}$$\Rightarrow y=1$Therefore,the values are $x=2$ and $y=1$.

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

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