algebra 1.docx I will put up the third box next .
1. inconsistent, no solution.
y1=(-2/3)x-4; 3y2=-2x-12, y2=(-2/3)x-12
As k1=k2=-2/3, y1 parallel y2, two lines never interact with each other, thus no solution and inconsistent.
2. consistent independent, a unique solution (-2,2)
As can be seen from the graph, two lines intersect at one unique point, thus they are consistent independent and has a unique solution.
3. when the two lines have the same equation, they are called consistent dependent, and has infinitely many solutions.
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