How many solutions does the system of equations have

x-4y=12 and y=1/4x-3

1 answer

The system of equations has 1 solution.

You can substitute the value of y from the second equation into the first equation:

x - 4(1/4x - 3) = 12
x - x + 12 = 12
12 = 12

Since the equation 12 = 12 is true, the system of equations has one solution where x = 0 and y = -3.