Question

which operation to be performed between x+2y=6 and 3x-y=1 to eliminate y​

Answer 1

Answer:

To eliminate y : (i) + 2×(ii)

Solution : x = 8/7 , y = 17/7

Solution:

The given pair of linear equations is :

x + 2y = 6 ------(i)

3x - y = 1 --------(ii)

Let's , solve this system of linear equations by elimination method.

Multiplying both sides of eq-(ii) with 2 , we get ;

=> 2(3x - y) = 2•1

=> 6x - 2y = 2 ----------(iii)

Now,

Adding eq-(i) and (iii) , we can eliminate y .

=> x + 2y + 6x - 2y = 6 + 2

=> 7x = 8

=> x = 8/7

Thus,

To eliminate y , we would do the operation :

(i) + 2×(ii).

Also,

Putting x = 8/7 in eq-(ii) , we get ;

=> 3x - y = 1

=> y = 3x - 1

=> y = 3•(8/7) - 1

=> y = 24/7 - 1

=> y = (24 - 7)/7

=> y = 17/7

Hence,

The solution of the system of given linear equations is : x = 8/7 , y = 17/7 .