How many solutions does this linear system have? y=-6x+2 -12x-2y=-4 a) one solution: (0,0) b) one solution: (1,-4) c) no solution d) infinite number of solutions

D) infinite number of solutions because they are the same equation and lie directly on top one another.

Looking at the 2nd equation -12x-2y=-4 and rearranging by adding the -12x over. 

-2y=12x-4  , then divide by -2 to both sides to get

y=-6x+2 which is the same as the first equation thus infinite solutions.