Question

if 2x+y=23 and 4x-y=19 then value of x+y is​

Answer 1

Step-by-step explanation:

Given System of Equations are:

2x+y=23 ...(1)

4x−y=19 ...(2)

Now adding both the equation will have:

6x=42

x=7

Now substituting x=7 in in equation (1)

⇒2(7)+y=23

⇒14+y=23

⇒y=9

Now substituting x=7 and y=9 in 5y−2x

⇒5(9)−2(7)

⇒45−14

⇒31

Now Substituting Now substituting x=7 and y=9 in

x

y

−2

⇒

7

9

−2

⇒

7

9−14

⇒

7

−5

Answer 2

Answer :-

2x + y = 23

4x - y = 19

__________________

To find,

x + y

___________________

2x + y = 23

=> y = 23 - 2x------(I)

put the value of (I) in equation 2

4x - y = 19

=> 4x -(23 - 2x) = 19

=> 4x -23 + 2x = 19

=> 6x = 42

=> x = 7

Now y = 23 - 2x

y = 23 - 14

=> 9

So, the value of x = 7. and. y = 9

Now, x + y = 7+9

=> 16

________________________

So, x + y = 16

________________________

Hope it's helpful

Thank you