Search any question & find its solution
Question:
Answered & Verified by Expert
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 $y$.
Solution:
1957 Upvotes
Verified Answer
Here, $\left(\frac{x}{3}+1, y-\frac{2}{3}\right)=\left(\frac{5}{3}, \frac{1}{3}\right)$
$\Rightarrow \frac{x}{3}+1=\frac{5}{3}$ and $y-\frac{2}{3}=\frac{1}{3}$
$\Rightarrow \frac{x}{3}=\frac{5}{3}-1$ and $y=\frac{1}{3}+\frac{2}{3}$
$\Rightarrow \frac{x}{3}=\frac{5-3}{3}$ and $y=\frac{1+2}{3}$
$\Rightarrow \frac{x}{3}=\frac{2}{3}$ and $y=1 \Rightarrow x=2, y=1$ Hence, $x=2, y=1$
$\Rightarrow \frac{x}{3}+1=\frac{5}{3}$ and $y-\frac{2}{3}=\frac{1}{3}$
$\Rightarrow \frac{x}{3}=\frac{5}{3}-1$ and $y=\frac{1}{3}+\frac{2}{3}$
$\Rightarrow \frac{x}{3}=\frac{5-3}{3}$ and $y=\frac{1+2}{3}$
$\Rightarrow \frac{x}{3}=\frac{2}{3}$ and $y=1 \Rightarrow x=2, y=1$ Hence, $x=2, y=1$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.