Question

if 3x+2y =13and 3x-2y=5 then the value of x+y is​

Answer 1

Answer:

Required Answer :-

Please refer to the attachment :)

Answer 2

Answer:

The value of x + y is found to be 5

Step-by-step explanation:

In the equation given here, we have the following two expressions given above from which we are supposed to find the value of x + y

The two equations mentioned are:

$3x+2y =13, 3x-2y=5$

Adding them both we have,

⇒ $3x + 2y + 3x - 2y = 5 + 13$

⇒ $6x = 18$

⇒ $x =$ 18 ÷ 6

⇒ $x = 3$

Therefore the value of x is found to be 3.

And putting its respective value in the first equation we have,

⇒ 3( 3) + 2y = 13

⇒ 9 + 2y = 13

⇒ 2y = 13 -9

⇒ 2y = 4

⇒ y = 4 ÷ 2

⇒ y = 2

Therefore we have the value of y to be 2.

Hence we have,

$x + y = 3 + 2 = 5$

Hence the value of x+ y is 5