Question

2x-y=8 and 2x+y=32 find x​

Answer 1

Answer:

10 is the required value of x .

Step-by-step explanation:

Explanation:

Given , 2x -y =8 and

2x + y = 32

Elimination method -The elimination method involves removing a variable from a system of linear equations by employing addition or subtraction along with multiplication or division of the variable coefficients.

Let , 2x -y = 8 ......(i)

and let 2x + y = 32 .......(ii)

Step 1:

By elimination method ,

On adding equation (i) and (ii) we get ,

2x - y + (2x +y) = 8 +32 = 40

⇒4x =40

⇒ x = 10

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

2x - y = 8

⇒2 (10) - y = 8

⇒20 - y = 8

⇒y = 20 - 8 = 12

So value of x and y are 10 and 12

Final answer:

Hence , the value of x is 10 .

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Answer 2

The value of x is 10.

Step-by-step explanation:

Given:

The two equations which are given are:

2x-y=8------(1)

2x+y=32------(2)

To find= the value of x

Solution:

We will start by solving the two equations together. Changing the signs from eq. 2

2x-y=8

-2x-y=-32

-2y= -24

y= 12

Now, putting the value of y in equation 1:

2x-12= 8

2x= 20

x= 10

Result:

Thus, the value of x is 10.

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