How many solutions does the system of equations have? y = 6x + 2 and 3y%C2%A0– 18x = 12 (1 point) Responses one one two two infinitely many infinitely many none
The given system of equations is:
y = 6x + 2,
3y - 18x = 12.
To determine the number of solutions, we can solve the system of equations and see the result.
We can start by substituting the value of y from the first equation into the second equation:
3(6x + 2) - 18x = 12,
18x + 6 - 18x = 12,
6 = 12.
Since the equation 6 = 12 is not true, the system of equations has no solution.
Therefore, the correct answer is "none."