Which ordered pair (m, n) is the solution to the given system of linear equations?

(6m-5n = 14

12m+ 2n=-10

(4,-1)

(11,-16)

• (-1,-4)

• (-16, 11)

Answer : The ordered pair (m, n) is, (-1,-4)

Step-by-step explanation:

The given equations are:

      ..........(1)

      ..........(2)

Using elimination method:

We are multiplying equation 2 by 3, we get:

      ..........(3)

Now subtracting equation 1 from 3, we get the value of 'm'.

Now put the value m in equation 3, we get the value of 'n'.

Thus, the ordered pair (m, n) is, (-1,-4)