Answer:
As both slopes are equal, and the values of b are different it means that the two lines are parallel and the system of equations does not have any solution. (Please see the picture below)
Step-by-step explanation:
1. First write the system of equations:
[tex]y=6x+2[/tex]
[tex]3y-18x=12[/tex]
2. Solve y for the second equation:
[tex]3y-18x=12[/tex]
[tex]3y=18x+12[/tex]
[tex]y=\frac{18x+12}{3}[/tex]
[tex]y=6x+4[/tex]
3. Re write both equations in the form y=mx+b, where m is the slope and b is the value of y when x=0 :
[tex]y=6x+2[/tex]
[tex]y=6x+4[/tex]
As both slopes are equal, and the values of b are different it means that the two lines are parallel and the system of equations does not have any solution.
