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.

Respuesta :

Answer:

-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!

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.

Given the system of equation

x−y=3 ...... 1

7x−y=−3 ...... 2

Solving the equations simultaneously:

Subtract both equations

x-7x = 3 + 3

-6x = 6

x = 6/-6

x = -1

Substitute x = -1 into equation1

Recall that x - y = 3

-1 - y = 3

-y = 3 + 1

y = -4

Hence the solution to the system of equations is (-1, -4)

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