Question

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.

Answer 1

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.

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.