Question

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

Answer 1

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

Step-by-step explanation:

The given equations are:

$6m-5n=14$       ..........(1)

$2m+2n=-10$       ..........(2)

Using elimination method:

We are multiplying equation 2 by 3, we get:

$6m+6n=-30$       ..........(3)

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

$6m+6n-6m+5n=-30-14$

$11m=-44$

$m=-4$

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

$6m+6n=-30$

$6(-4)+6n=-30$

$-24+6n=-30$

$6n=-30+24$

$6n=-6$

$n=-1$

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