Equation 1) y = 3x + 1
Equation 2) 4y = 12x + 4
For BOTH equations, we must have x and y on the same side, so simply move the x's to the other side.
For equation 1, subtract 3x from both sides.
1) -3x + y = 1
For equation 2, subtract 12x from both sides.
2) -12x + 4y = 4
Now, multiply ALL of equation 1 by 4 so that both equations have (4y) in them.
1) 4(-3x + y = 1)
Simplify.
1) -12x + 4y = 4
2) -12x + 4y = 4
Subtract equations from one another.
0 = 0
Therefore, there are infinite solutions.
~Hope I helped!~