Question

if 2x+y=7 and x+2y=5 then find the value of x+y​

Answer 1

Answer:

5

Step-by-step explanation:

this would be helpful

Answer 2

Required Answer:-

Given:

• 2x + y = 7
• x + 2y = 5

To find:

• The value of x + y

Solution:

Given equations,

➡ 2x + y = 7 .....(i)

➡ x + 2y = 5 .....(ii)

Adding both equations (i) and (ii), we get,

➡ 2x + y + x + 2y = 7 + 5

➡ 3x + 3y = 12

➡ 3(x + y) = 12

➡ x + y = 4

Hence, the value of x + y is 4.

You can try this approach. This is the easiest one.

Note:- You can also find the value of x + y by calculating x and y and then adding both.

Using substitution method,

Given,

➡ 2x + y = 7 ....(i)

➡ 2y + x = 5 ....(ii)

From (i), y = 7 - 2x

Substituting the value of y in the equation (ii), we get,

➡ 2(7 - 2x) + x = 5

➡ 14 - 4x + x = 5

➡ 3x = 14 - 5

➡ 3x = 9

➡ x = 3

Now, y = 7 - 2x

= 7 - 2 × 3

= 7 - 6

= 1

Hence,

x + y = 3 + 1 = 4 which is our required answer.

Answer:

• x + y = 4.