Answer:
Option (c) is correct.
The ordered pair (-4, -1) is a solution to the given system of linear equations.
Step-by-step explanation:
given : system of linear equations.
6m - 5n = 14
2m + 2n = - 10
We have to find the solution to the given system of linear equations.
Consider the given system of linear equations.
6m - 5n = 14 ......(1)
2m + 2n = - 10 .......(2)
We solve the given system using elimination method,
multiply equation (2) by 3 , we have,
(2) ⇒ 6m + 6n = - 30 ..............(3)
Subtract equation (1) and (3) we have,
6m + 6n - (6m - 5n) = - 30 -14
Simplify, we have,
6n + 5n = - 44
11n = - 44
n = - 4
Put n = -4 in (1) , we have,
6m - 5n = 14 ⇒ 6m - 5(-4) = 14 ⇒ 6m = 14 -20 ⇒ 6m = -6 ⇒ m = -1
Thus, the ordered pair (-4, -1) is a solution to the given system of linear equations.
