Find the solution to the system of linear equations graphically

Answer:
No solution.
Step-by-step explanation:
First, we must convert the first equation (-6x+3y = 12) into y=mx+b form so we can graph it.
There are two ways to convert the first equation to y=mx +b. By substitution or by elimination. For this, I will do substitution.
Solving by substitution means you replace one of the variables so all the terms are equal and can be solved.
Thankfully, we know that y is equal to 2x +1, so in place of y, we can replace it with 2x + 1.
[tex]-6x+3(2x+1)=12[/tex]
Now, lets merge and solve for X!
[tex]-6x+3(2x+1)=12\\-6x+6x+3=12\\3=12\\[/tex]
Hmm...that alone means that there actually isn't a solution since 3 and 12 does not equal each other.
There is no solution to this system of linear equations.