Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = [tex]\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}[/tex]
slope of red line = [tex]\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}[/tex]
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
