Math, asked by ashwinichikodi78, 2 months ago

Solve the following pair
pair of linear
equation by elimination method
2x + y = 5

x + 2y = -2​

Answers

Answered by amansharma264
165

EXPLANATION.

⇒ 2x + y = 5. - - - - - (1).

⇒ x + 2y = -2. - - - - - (2).

As we know that,

From equation (1) & (2), we get.

Multiply equation (1) by 1.

Multiply equation (2) by 2.

⇒ 2x + y = 5. - - - - - (1) x 1.

⇒ x + 2y = -2. - - - - - (2) x 2.

2x + y = 5. - - - - - (1).

2x + 4y = -4. - - - - - (2).

-     -        +

We get,

⇒ - 3y = 9.

⇒ y = -3.

Put the value of y = - 3 in equation (1), we get.

⇒ 2x + y = 5.

⇒ 2x + (-3) = 5.

⇒ 2x - 3 = 5.

⇒ 2x = 5 + 3.

⇒ 2x = 8.

⇒ x = 4.

Value of x = 4 & y = -3.

Answered by Anonymous
98

Answer:

Given :-

 \sf \: 2x + y = 5

 \sf \: x + 2y  =   - 2

To Find :-

Value of x and y

Solution :-

Multiply equation 2 by 2

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

2x + 4y = -4

Subtract them

(2x + y) - (2x + 4y) = 5 - (-4)

2x + y - 2x - 4y = 5 + 4

y - 4y = 9

-3y = 9

y = 9/-3

y = -3

Now

By putting value of y in 2

x + 2y = -2

x + 2(-3) = -2

x + (-6) = -2

x - 6 = -2

x = 6 - 2

x = 4

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