Question 75601
Plug the 2nd equation into y of the 1st equation
{{{8x -4(2x-4) = 16}}}
{{{8x -8x+16 = 16}}}
{{{16=16}}}
Since this is true for all x, there are an infinite number of solutions. If you solve the 1st equation for y you get:

{{{8x -4y = 16}}}
{{{-4y=16-8x}}}
{{{y=-4+2x}}}
{{{y=2x-4}}}
Which is the same as the 2nd equation. Since they are the same, they intersect at an infinite number of points.