We have the following system of equations:
[tex]\begin{gathered} y=x-1\text{ (1)} \\ y=-x+5\text{ (2)} \end{gathered}[/tex]
To see if (5,4) is a solution, we must substitute x=5 or y=4 into the two equations:
[tex]\begin{gathered} (1)4=5-1 \\ 4=4\text{ TRUE} \\ (2)\text{ } \\ 4=-5+5 \\ 4=0\text{ FALSE} \end{gathered}[/tex]
Therefore (5,4) is NOT a solution to this system of linear equations.
