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

I believe the answer is no solution.
turn x-2y=-8 into x=2y-8 and then substitute into the other equation. this becomes 3(2y-8)-6y=-12. simplify to 6y-24-6y=-12. the 6y-6y cancels each other out, leaving -24=-12. -24 does not equal -12, so therefore there is no solution. since there is no solution, we can then assume that the lines do not intersect and that they are parallel.

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