Question

solve the pair of linear equation by the suitable method 2x+y=14, x- y=4​

Answer 1

Answer:

x=6 ; y=2

This is my first answer mark me as a brainlist plz.....

Answer 2

Answer :

(6 , 2)

Solution :

Here ,

The given pair of linear equations is ;

2x + y = 14 -------(1)

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

★ By elimination method :

Adding eq-(1) and (2) , we get ;

=> 2x + y + x - y = 14 + 4

=> 3x = 18

=> x = 18/3

=> x = 6

.Now ,

Putting x = 6 in eq-(1) , we get ;

=> 2x + y = 14

=> 2•6 + y = 14

=> 12 + y = 14

=> y = 14 - 12

=> y = 2

Hence ,

Required solution is (6 , 2) .

★ By substitution method :

Using eq-(1) , we have ;

=> 2x + y = 14

=> y = 14 - 2x ------(3)

Now ,

Substituting y = 14 - 2x in eq-(2) , we get ;

=> x - y = 4

=> x - (14 - 2x) = 4

=> x - 14 + 2x = 4

=> 3x - 14 = 4

=> 3x = 4 + 14

=> 3x = 18

=> x = 18/3

=> x = 6

Now ,

Putting x = 6 in eq-(3) , we get ;

=> y = 14 - 2x

=> y = 14 - 2•6

=> y = 14 - 12

=> y = 2

Hence ,

Hence , The required solution is (6 , 2) .