To find which could be the second equation to the system of equations, we insert the x part of the solution (6), if we obtain 2 as result then that equation could be since it has the same solution as the system.
[tex]\begin{gathered} y=-\frac{1}{6}x+3 \\ y=-\frac{1}{6}(6)+3 \\ y=-1+3 \\ y=2 \\ \text{second equation} \\ y=4x-2 \\ y=4(6)-2 \\ y=24-2 \\ y=22 \end{gathered}[/tex]
The possible equation to the system is the first since the solution (6,2) belong to the line
