Which statements are true about the ordered pair (5, −6) and the system of equations?{x+y=−13x−y=21Select each correct answer.The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.The ordered pair (5, −6) is a solution to the second equation because it makes the second equation true.The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.The ordered pair (5, −6) is a solution to the system because it makes both equations true.
Accepted Solution
A:
Answer:Step-by-step explanation:The system of equations is given asx+y =-13 andx-y =21Adding we get2x=8 or x=4Substitute in I equation to get4+y =13y =9Hence soluton is (4,9)So (5,-6) cannot be the solution as there is only one unique solution to the system and that is (4,9)When we substitute (5,-6) we haex+y=-1 and x-y = 11Both equations are not satisfied.The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.