For this case we have the following system of equations:
[tex]y = -6x + 2\\-12x-2y = -4[/tex]
We clear the value of "y" from the second equation:
[tex]-2y = -4 + 12x\\y = \frac {-4} {- 2} + \frac {12} {- 2} x\\y = 2-6x[/tex]
We match the equations:
[tex]-6x + 2 = 2-6x\\-6x + 6x = 2-2\\0 = 0[/tex]
Equality is fulfilled! For any value of "x" is always met.
Thus, the system has infinite solutions.
Answer:
Infinite solutions
