Question

Please help. Which statements are true about the ordered pair (−1,−4) and the system of equations?

x−y=37x−y=−3

Select each correct answer.

When ​ (−1,−4) ​ is substituted into the second equation, the equation is true.

When ​ (−1,−4) ​ is substituted into the first equation, the equation is false.

The ordered pair ​ (−1,−4) ​ is not a solution to the system of linear equations.

When ​ (−1,−4) ​ is substituted into the second equation, the equation is false.

When ​ (−1,−4) ​ is substituted into the first equation, the equation is true.

The ordered pair ​ (−1,−4) ​ is a solution to the system of linear equations.

Answer 1

The ordered pair (−1,−4) satisfies the second equation but not the first, so it is not a solution to the system of equations.

Step-by-step explanation:

Let's evaluate the ordered pair (−1,−4) against the given system of equations. The system of equations provided seems to be:

7x - y = −3

We will substitute the values of x and y from the ordered pair into both equations to determine if they hold true.

First equation:
(−1) − (−4) = 3
1 + 4 = 3
5 = 3 → which is false.

Second equation:
7(−1) − (−4) = −3
−7 + 4 = −3
−3 = −3 → which is true.

Thus, the ordered pair (−1,−4) is not a solution to the system of linear equations because it does not satisfy both equations simultaneously.

Answer 2

-The ordered pair ​ (−1,−4) ​ is not a solution to the system of linear equations.

-When ​ (−1,−4) ​ is substituted into the first equation, the equation is true.

-When ​ (−1,−4) ​ is substituted into the second equation, the equation is true.

Step-by-step explanation:

I took the k12 test too and got it right!