Question

Which statements are true about the ordered pair(-1, -4) and the system of equations?

Answer 1

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.