Tell how many solutions there are for a system of linear equations whose graph is described below. Be sure to explain/justify your answer. (3 pts.)
a. A pair of parallel lines
b. A single line
c. A pair of lines that are not parallel
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if by "solutions" they mean points where they exist then all three are infinity. if they mean solutions as in intersecting points then A has none, B has none and C would be the corssing point of the two lines
Ya I didn't really know what they meant, but thanks
Solutions to systems of equations are points which all equations have in common.
So two parallel lines have no points in common (they never cross).
A single line has only one equation and would thus have infinitely many solutions. Because it would have all it's points in common with itself.
A pair of non-parallel lines would have only one solution because two non-parallel lines can only intersect at a single point.