Mathematics: 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)

Which ordered pair (m, n) is the solution to the

andrewjsoto

21.01.2022

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)

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