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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.
How many solutions will a system have if the graph of the solution is parallel lines?
No Solutions
How many solutions will a system have if the graph of the solution is not parallel lines?
infinitely many solutions :)
How do you know which region of the graph of a system of linear inequalities contains the solutions?
If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.
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).
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
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
What are the three different possible solutions of a linear system?
If the lines cross then there is one solution. If they are on top of each other then there are infinite solutions. If they are parallel then there are no solutions.
How many solutions will a system have if the graph of the solution is coinciding lines?
no solutions
Does every system of a linear equation have a solution?
No, if two lines are parallel they will not have a solution.
How many solutions will a system have if the graph of the solution is intersecting lines?
one solution
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.
