1. what is the solution to the system of equations? 3x-6y=-12 x-2y=-8 (a) use the substitution method to justify that the given system of equations has no solution. (b) what do you know about the two lines in this system of equations?

I know I am answering 3 years late but for the people who need help, this is the answer. I know because I go to k12. And FYI I am using the substitution method so you don't need to worry about that :)

A) 3x-6y=-12

x-2y=-8  

3(2y – 8) - 6y = -12  

 6y – 24 – 6y = -12  

 -24 ≠ -12  

There is no solution.  

B) If we were to graph them, the two lines would not intersect; they would be parallel.  

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.