Question

If 2x-y =3 and -x+2y = 3 ,then find the value of (x+y)?

Answer 1

Step-by-step explanation:

2x - y = 3 and - x + 2y = 3

To find :- (x + y)

2x - y = 3

2x = 3 + y

x = (3 + y)/2

putting value of x in equation (2)

- x + 2y = 3

- (3 + y)/2 + 2y = 3

- (3 + y ) + 4y /2 = 3

- 3 - y + 4y = 6

-3 + 3y = 6

3y = 6 + 3

y = 3

putting value of y in equation (1)

x = (3 + y)/2

x = (3 + 3)/2

x = 6/2

x = 3

x + y = 3 + 3

x + y = 6

hope this will help you

Answer 2

The value of (x+y) is 6.

Given:

2x-y =3 ........(i)

-x+2y = 3 .........(ii)

To Find:

We have to find the value of (x+y).

Solution:

This is a problem for equations.

Let us tackle this problem.

We can easily solve this problem as follows,

Let us multiply the equation (i)  with 2.

Then we get,

4x-2y = 6 ........(iii)

Adding equation (ii) and equation (iii) , we get,

-x+2y+4x-2y = 3+6

⇒3x = 9

⇒x= 3

Putting the value of x in equation (i), we get,

6-y = 3

⇒y= 3

So,

x + y = 3+3 = 6

Hence, the value of (x+y) is 6.

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