The given equations are
[tex]x-y=3\text{ and }7x-y=-2.[/tex]
The given point is (-1,-4)
[tex]\text{Substituting x=-1 and y=-4 in }x-y=3\text{ as follows:}[/tex]
[tex](-1)-(-4)=3[/tex]
[tex]-1+4=3[/tex]
[tex]3=3[/tex]
This equation is true.
When (-1,-4), substituted into the first equation, the equation is true.
The second option is correct.
[tex]\text{Substituting x=-1 and y=-4 in 7}x-y=-2\text{ as follows:}[/tex]
[tex]7(-1)-(-4)=-2[/tex]
[tex]-7+4=-2[/tex]
[tex]-3=-2[/tex]
This equation is not true.
When (-1,-4), substituted into the second equation, the equation is false.
The third option is correct.
If the ordered pair (-1,-4) is a solution to the system of linear equations, it should satisfy both linear equations.
When (-1,-4), substituted into the second equation, It does not satisfy this equation.
Hence the ordered pair (-1,-4) is not a solution to the system of linear equations.
Correct options are two, three and six.
