Question

If 4x+y=34 and x+4y =16 then x+y =___

Answer 1

Answer:

x+y= 10

Step-by-step explanation:

Given equations

4x+y=34

x+4y=16

add above equations, we get

5x+5y= 34+16

5x+ 5y= 50

divide whole equation by 5

x+y= 10

This is the required answer.

Answer 2

Answer:

4x+y=34 .... eq. 1

x+4y=16 .....eq. 2

x+y=? .....eq.3

x = 34-y/4( from equation no. 1)

put the value of x in equation no.2

34-y/4 +4y =16 .…. eq. 4

Take LCM of equation 4

34-y+16y/4 =64/4

34-y+16y =64

34+15y = 64

15y =64-34

15y=30

y=30/15

y= 2

put the value of y in equation no. 1

4x+2=34

4x=34-2

4x=32

x=32/4

x=8

put the value of x and y in equation no. 3

x+y=8+2

x+y =10