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  • If x / 3 + 1 y- 2/ 3 =5 / 3 1 /3 , find the values of x and y.

Q1   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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best_answer

It is 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, the corresponding elements will also be equal
Therefore,
\frac{x}{3}+1= \frac{5}{3} \ \ \ and \ \ \ y - \frac{2}{3}= \frac{1}{3}
\frac{x}{3}= \frac{5}{3}-1 \ \ \ and \ \ \ y = \frac{1}{3}+ \frac{2}{3}
\frac{x}{3}= \frac{5-3}{3} \ \ \ and \ \ \ y = \frac{1+2}{3}
\frac{x}{3}= \frac{2}{3} \ \ \ and \ \ \ y = \frac{3}{3}
x= 2 \ \ \ and \ \ \ y = 1

Therefore, values of x and y are  2  and 1  respectively 

Posted by

Gautam harsolia

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