Hi there!
The question is asking us to determine all the true statement given the coordinate point (-3, 1) and a system of linear equations containing the equations x - 4y = 6 and 3x + y = -8. Let's determine each answer by testing it out, according to the answer choices.
a) Option A is basically asking us to plug in (-3, 1) into the first equation in the system of linear equations. Here is how you do that -
x - 4y = 6
-3 - 4(1) = 6
-3 - 4 = 6
-7 ≠ 6
Therefore, the first option is not applicable.
b) Option B is basically asking us to plug in (-3, 1) into the second equation in the given system of equations. This is what the work should look like -
3x + y = -8
3(-3) + 1 = -8
-9 + 1 = -8
-8 = -8
Since we have ended up with a true statement, the second option is applicable.
c) Based on the work we have done before, we have determined that one of the equations is not made true by the given coordinate point, (-3, 1). This is literally what option C is saying. Therefore, option C is applicable.
d) Option D conflicts with what we said for option C. Therefore, Option D is definitely not applicable to this question
The answers to the question are options B and C, or the second and third option. Hope this helped and have a great day!
