Question

Y = 6x+ 2 - 12x - 2y = -4How many sultions does this linear system have ?

Answer 1

One solution . (0, 2)

Also, any linear system that is not exactly the same line or parallel has one solution. 

Answer 2

$\begin{cases}y=6x+2\\-12x-2y=-4\end{cases}\\\\-12x-2(6x+2)=-4\\-12x-12x-4=-4\\-24x=0\\x=0\\\\y=6x+2\\y=2\\\\1\;Solution:(0,2)$