Infinite Number of Solutions
1) Considering the following system of Linear Equations:
I) 3x-y=4
II) 6x-2y=8 :2
I) 3x -y =4
II) 3x -y= 4
Let's solve it using the Substitution Method.
2) Let's rewrite the first equation first:
3x -y= 4
-y= 4-3x
y=3x -4
Now, let's plug into the second equation the first one:
6x -2y=8
6x -2(3x-4) =8
6x -6x +8 =8
6x-6x= 8-8
0 =0
y=3x-4
y=3(0) -4
y= -4
3) Note that as a matter of fact, we have the same equation on this Linear System. When this happens, we will only have one line, and we have an infinite number of solutions.
