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.
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.
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.
If the lines are straight lines , then there is only one solution, which is the point of intersection of the two lines. It will have ( x,y) coordinates. However, if the lines are curved in any way , there may be more than two or more points of intersection.
-- 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.