Question

HELP!!!!!!!!!!! PLEASE WILL MAKE BRAINLIEST AND 25 POINTS PLEASE HELP!!!!!!!!!!!!!!!!!!!!!Which statements are true about the ordered pair (−3, 1) and the system of equations?
{x−4y=63x+y=−8


Select each correct answer.

The ordered pair (−3, 1) is a solution to the first equation because it makes the first equation true.

The ordered pair (−3, 1) is a solution to the second equation because it makes the second equation true.

The ordered pair (−3, 1) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (−3, 1) is a solution to the system because it makes both equations true.

Answer 1

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!