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How many solutions will a system have if the graph of the solution is coinciding 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.
When you graph a system and all you see is one line how many solutions will the system have?
If you graph a system of two lines and all you see is one line, this means that both lines are the same. Any point on the line is a solution, so the system has an infinite number of solutions.
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
How many solutions will a system have if the graph of the solution is intersecting lines?
one solution
How many solutions will a system have if the graph of the solution is coinciding lines?
no solutions
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 :)
Does the graph of a system of equations with different slopes have no solutions?
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
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.
When you graph a system and all you see is one line how many solutions will the system have?
If you graph a system of two lines and all you see is one line, this means that both lines are the same. Any point on the line is a solution, so the system has an infinite number of solutions.
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 can you determine whether a system has no solutions by graphing?
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
Is The graph of a system of equations with the same slope will have no solutions?
Yes.
How do you interpret the solution of a system of equations by the corresponding graph?
The solution of a system of equations corresponds to the point where the graphs of the equations intersect. If the equations have one unique point of intersection, that point represents the solution of the system. If the graphs are parallel and do not intersect, the system has no solution. If the graphs overlap and coincide, the system has infinitely many solutions.
