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What do you call the graphs that intersect at exactly one point which gives solution of the system?
Wiki User
∙ 11y ago
They are straight line graphs that work out the solutions of 2 equations or simultaneous equations
Wiki User
∙ 11y ago
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The unique solution to a system is where the graphs of the functions what?
Where they all intersect.
When solving a system of equations by graphing how is the solution found?
The solution is the coordinates of the point where the graphs of the equations intersect.
What does a solution of a system of equations look like?
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
If there is no solution to a system of equations it means?
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
The unique solution to a system is where the graphs of the functions what?
Where they all intersect.
How many solutions will a system of equations have if the graphs of the lines 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.
The graph of a system of equations with the same slope will have no 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.
When solving a system of equations by graphing how is the solution found?
The solution is the coordinates of the point where the graphs of the equations intersect.
What does a system of equation with no solution look like?
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
What does a solution of a system of equations look like?
Functions (lines, parabolas, etc.) whose graphs never intersect each other.
How do you solve systems of equations by graphing?
-- 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.
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).
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
How do you solve questions that say which graph best represents the system of inequalities?
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.
If there is no solution to a system of equations it means?
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
When the equation in a linear system have different slopes then the system has what kind of solution?
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.
