Answer:
The ordered pair (m, n) which is a solution to the given system of linear equations is:
(-1,-4)
Step-by-step explanation:
We are given a system of linear equations as follows:
[tex]6m-5n=14-------(1)[/tex]
and
[tex]2m+2n=-10[/tex]
which could be reduced as follows:
[tex]m+n=-5--------(2)[/tex]
( Since, we divide both side by 2)
Now, on multiplying equation (2) by 5 and adding both the equations we get:
[tex]11m=-11\\\\m=\dfrac{-11}{11}\\\\m=-1[/tex]
On putting the value of m in equation (2) we get:
[tex]-1+n=-5\\\\n=-5+1\\\\n=-4[/tex]
Hence, the ordered pair which is a solution is given by:
(-1,-4)
