Question

If the ordered pairs (x-4, 3y + 2) and (y + 2, x + 3) are equal, find x and y

Answer 1

Answer ---> x= 19 / 2 and y = 7 / 2

Given---> Ordered pairs ( x - 4 , 3y + 2 ) and

( y+2 , x+3 ) are equal

To find ---> Value of x and y.

Solution---> We know that if two ordered pair is equal then their corresponding elements are equal means first elemnt is equal to first element and second element is equal to second element.

Now, ATQ,

( x - 4 , 3y + 2 ) = ( y + 2 , x + 3 )

Comparing the corresponding elements , we get,

x - 4 = y + 2 and 3y + 2 = x + 3

Now we have two equations in x and y and by solving these equation we get value of x and y.

We solve it by substitution method

x - 4 = y + 2

=> x = y + 2 + 4

=> x = y + 6

Putting x = y + 6 in second equation we get,

3y + 2 = y + 6 + 3

=> 3y - y = 9 - 2

=> 2y = 7

=> y = 7 / 2

Putting y = 7 / 2 in , x = y + 6 , we get,

x = y + 6

=> x = ( 7 / 2 ) + 6

=> x = ( 7 + 12 ) / 2

Taking 2 as LCM , we get,

=> x = 19 / 2

x = 19 / 2 and y = 7 / 2

#Answerwithquality&#BAL

Answer 2

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$\huge\underline{\underline{\texttt{\purple{x=19/2 or Y=7/2}}}}$

#answerwithquality #bal