Answer : The ordered pair (m, n) is, (-1,-4)
Step-by-step explanation:
The given equations are:
[tex]6m-5n=14[/tex] ..........(1)
[tex]2m+2n=-10[/tex] ..........(2)
Using elimination method:
We are multiplying equation 2 by 3, we get:
[tex]6m+6n=-30[/tex] ..........(3)
Now subtracting equation 1 from 3, we get the value of 'm'.
[tex]6m+6n-6m+5n=-30-14[/tex]
[tex]11m=-44[/tex]
[tex]m=-4[/tex]
Now put the value m in equation 3, we get the value of 'n'.
[tex]6m+6n=-30[/tex]
[tex]6(-4)+6n=-30[/tex]
[tex]-24+6n=-30[/tex]
[tex]6n=-30+24[/tex]
[tex]6n=-6[/tex]
[tex]n=-1[/tex]
Thus, the ordered pair (m, n) is, (-1,-4)
