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Earn +20 ptsQ: How many solutions will a system have if the solution is parallel lines?
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How many solutions will a system have if the graph of the solution is parallel lines?
No Solutions
Can a linear system have exactly two solutions?
NO! A linear system can only have one solution (the lines intersect at one point), no solution (the lines are parallel), and infinitely many solutions (the lines are equivalent).
Do graph of a system of parallel lines will have no solutions?
Correct. Unless the parallel lines are coincident, in which case the solution set is the whole line.
How many solutions is it possible for a system of linear equations to have?
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
On a graph the solution of a system of a linear equations will be represented by what?
The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.
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