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Which statements are true about the ordered pair(-1, -4) and the system of equations?
X-y=3
7x- y = -3
Select each correct answer.
V 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.
When(-1,–4) is substituted into the first equation, the equation is false.
DWhen(-1,-4) is substituted into the second 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 true.

Which statements are true about the ordered pair1 4 and the system of equations Xy3 7x y 3 Select each correct answer V When14 is substituted into the first equ class=
Relax

Respuesta :

Answer:

a) when (-1,-4) is substituted into the first equation

then the equation is satisfied

b) The ordered pair(-1, –4) is a solution to the system of linear equations.

Step-by-step explanation:

Step(i):-

Given that the system of equations

  x -y =3 ...(i)

 7x -y =-3 ...(ii)

subtracting (i) and (ii) equations , we get

   x -y  -(7x-y) = 3 -(-3)

   x - y - 7x + y = 6

         - 6x = 6

             x = -1

Step(ii):-

Substitute x=-1 in equation (i), we get

       x -y =3

     -1 -y = 3

        y = -1-3

        y = -4

The solution of the given system of equations (-1,-4)

Final answer:-

a) when (-1,-4) is substituted into the first equation

then the equation is satisfied

b) The ordered pair(-1, –4) is a solution to the system of linear equations.

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