Hey there!
In order to determine whether an ordered pair is a solution, all we have to do is plug in the values of x and y and see if we end up with a true statement.
The first pair is (-6, 1)
plug in 1 for y and -6 for x:
2(-6)+7(1)=-5
-12+7=-5
-5=-5
Yep! Here we have a true statement.
Therefore, this ordered pair is a solution.
2(9)+7(2)=-5
18+14=-5
Well, we can see that we have a false statement, because
32≠-5
and ≠ means "not equal to"
Let's try the third ordered pair.
2(8)+7(-3)=-5
16-21=-5
-5=-5
Great! We have another true statement :)
Let's try the last option.
2(-5)+7(-4)=-5
-10-28=-5
-38=-5
As we can see, we ended up with a false statement.
-38≠-5
Hence,
[tex]\boxed{\boxed{\bold{options~A~and~C~are~correct.}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
