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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 solution is parallel lines?
There will be o 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).
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.
What is it called when two lines on a graph do not intercept?
Parallel
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.
The two lines graphed below are parallel How many solutions are there to the system of equations?
Although there is no graph, the number of solutions is 0.
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 solution is parallel lines?
There will be o solutions.
Will the graph of a system of parallel lines intersect at exactly 1 point?
Parallel lines don't intersect, no matter how many of them there are.
When system of linear equations is graphed how is the graph of each equation related to the solutions of that equation?
When a system of linear equations is graphed, each equation is represented by a straight line on the coordinate plane. The solutions to each equation correspond to all the points on that line. The intersection points of the lines represent the solutions to the entire system; if the lines intersect at a point, that point is the unique solution. If the lines are parallel, there are no solutions, and if they overlap, there are infinitely many solutions.
How many solutions will a system have if the graph of the solution is intersecting lines?
one solution
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.
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).
A system of linear equation in two variables can have how many solutions?
None, one or an infinite number. In graph form, the three correspond to: None = Parallel lines One = Interscting lines Infinite = Coincident lines.
