Question

if (x/3+1,y-2/3)=(5/3,1/3) find value of x and y​

Answer 1

$\purple{\underline{\underline{\huge{\bold{Ur\:Question\::}}}}}$

Given:

$(\frac{x}{3+1},\frac{y-2}{3})=(\frac{5}{3},\frac{1}{3})$

To find:

The values of x and y.

$\purple{\underline{\underline{\huge{\bold{Ur\:Solution\::}}}}}$

$(\frac{x}{3+1},\frac{y-2}{3})=(\frac{5}{3},\frac{1}{3})$

$\sf{\fbox\purple{case-i}}$

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

$\purple\Rightarrow$$5(3+1) = 3x$

$\purple\Rightarrow$$5\times 4 = 3x$

$\purple\Rightarrow$$20 = 3x$

$\purple\Rightarrow$$x = \frac {20}{3}$

$\sf{\fbox\purple{case-ii}}$

$\Rightarrow$$\frac{y-2}{3}=\frac{2}{3}$

$\purple\Rightarrow$$2\times 3 = 3(y-2)$

$\purple\Rightarrow$$6 = 3y-6$

$\purple\Rightarrow$$3y = 12$

$\purple\Rightarrow$$y = 4$

$\therefore$ The value of x is $\frac{20}{3}.$

And value of y is 4.

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~hope it helps $\purple{!!}$

$\tt\purple{@Manogna}$