Answer:
a) when (-1,-4) is substituted into the first equation
then the equation is satisfied
<em>b) The ordered pair(-1, –4) is a solution to the system of linear equations.</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
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
<u><em>Step(ii):-</em></u>
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)
<u><em>Final answer:-</em></u>
a) when (-1,-4) is substituted into the first equation
then the equation is satisfied
<em>b) The ordered pair(-1, –4) is a solution to the system of linear equations.</em>