y=6x+2 and 3y-18x=12

1 answer

To solve this system of equations, we can use the method of substitution.

First, we'll solve the first equation for y:

y = 6x + 2

Next, we'll substitute this expression for y in the second equation:

3(6x + 2) - 18x = 12

18x + 6 - 18x = 12
6 = 12

Since the equation 6 = 12 is not true, it means that there is no solution for this system of equations. Therefore, the given system of equations is inconsistent.