Question

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

Answer 1

We have

2x + y = 5 (i)

x + 2y = 7 (ii)

Now Using Substitution Method to find x and y

So take (ii)eq

x + 2y = 7

x = 7-2y (iii)eq

put the value of x on (i)eq

2x + y = 5 (i)

2(7 - 2y) + y = 5

14 - 4y + y = 5

-3y = 5-14

-3y = -9

y = 9/3

y = 3

Now put the value of y on (iii)eq

x = 7 - 2y (iii)eq

x = 7 - 2×3

x = 7 - 6

x = 1

Now we get y=3 , x=1

Now we have to find x + y

x+y

3 + 1

4

Answer is 4

Answer 2

Understanding the question:

★ There are equations given as 2x+y=5 and x+2y=7 then we have to find out the value of x+y.

Given equation'(s) :

★ 2x+y=5 and x+2y=7

To find the:

★ Value of x+y

Solution:

★ Value of x+y = 4

Using concept:

★ Substitution method

Full solution:

Let's solve this question!

• (- = +)
• (+ = -)

➝ 2x+y=5

➝ y = 5-2x

Using substitution method,

➝ x+2y = 7

➝ x+2(5-2x) = 7

➝ x+10-4x = 7

➝ x-4x+10 = 7

➝ -3x+10 = 7

➝ -3x = 7-10

➝ -3x = -3

➝ x = 3/3

➝ x = 1/1

➝ x = 1

• Henceforth, value of x is 1

We get x as 1, substituting the values we get the following results and value of y!

➝ 2x+y=5

➝ 2(1) + y = 5

➝ 2×1 + y = 5

➝ 2+y = 5

➝ y = 5-2

➝ y = 3

• Henceforth, value of y is 3

Henceforth, x+y

➝ x+y

➝ 1+3

➝ 4

• Henceforth, x+y = 4