They are straight line graphs that work out the solutions of 2 equations or simultaneous equations
Where they all intersect.
The solution is the coordinates of the point where the graphs of the equations intersect.
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
the solution to a system is where the two lines intersect upon a graph.
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
Where they all intersect.
A system of equations will have one solution if the graphs of the lines intersect. This is because the lines intersect at a single point. Let's say that point is (a, b). The x = a, y = b is the one and only solution for the system.
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution, because it's the point that satisfies each equation in the system. Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.
The solution is the coordinates of the point where the graphs of the equations intersect.
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
-- Graph each equation individually. -- Examine the graph to find points where the individual graphs intersect. -- The points where the individual graphs intersect are the solutions of the system of equations.
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).
the solution to a system is where the two lines intersect upon a graph.
The solution to a system of inequalities is where the solutions to each of the individual inequalities intersect. When given a set of graphs look for the one which most closely represents the intersection, this one will contain the most of the solution to the the system but the least extra.
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
It is not possible to tell. The lines could intersect, in pairs, at several different points giving no solution. A much less likely outcome is that they all intersect at a single point: the unique solution to the system.