[tex]14x-2y=46 \\
-7x+y=-23 \\ \\
\hbox{solve the 2nd equation for y:} \\
-7x+y=-23 \\
y=7x-23 \\ \\
\hbox{substitute 7x-23 for y in the 1st equation:} \\
14x-2(7x-23)=46 \\
14x-14x+46=46 \\
14x-14x=46-46 \\
0=0 \\ \\
\boxed{\hbox{infinitely many solutions}}[/tex]
