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If a system of equation is inconsistent that means that the graphs of the two equations do not have any points in common what types of lines would be the result of an inconsistent system of equations?
Wiki User
∙ 11y ago
In two dimensions, parallel ones.
In three dimensions, either parallel or skew ones.
Wiki User
∙ 11y ago
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Do graphs represent equations?
Bar graphs and line graphs do not. Straight line, parabolic, and hyperbolic graphs are graphs of an equation.
What is a family of graphs as a math definition?
Graphs and equations of graphs that have at least one characteristic in common.
How are graphs tables and equations related?
They are different ways to represent the answers of an equation
When solving systems of linear equation's when would you get no solution as an answer?
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
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.
Do graphs represent equations?
Bar graphs and line graphs do not. Straight line, parabolic, and hyperbolic graphs are graphs of an equation.
What is a family of graphs as a math definition?
Graphs and equations of graphs that have at least one characteristic in common.
How are graphs tables and equations related?
They are different ways to represent the answers of an equation
What outcome is not possible for the graph of a system of two linear equations?
the equation graphs
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 graphs be written as a equation?
Yes as for example straight line equations can be plotted on the Cartesian plane
How are graphs and equations related?
The graph of an equation represents the solution set of the equation, that is all the solutions of the equation are points that lie on the graph and all the points that lie on the graph are solutions of the equation.
What will the intersection of graphs of the two linear equations tell you?
y=f(x) and y =g(x) are two linear equation of x. the intersection of their graphs will tel the solution of the equation f(x)=g(x).
Graphs are representations of equations.?
Line graphs may represent equations, if they are defined for all values of a variable.
Is the system of equations 3x-6y equals 12 and 2x-4y equals 3 dependent consistent inconsistent or independent?
The system is inconsistent because there is no solution, i.e., no ordered pair, that satisfies both equations. You can see that this will be the case by seeing that their graphs have the same slope (2) but different y-intercepts (2 and 3/4 respectively). So the lines are parallel and will not intersect.
How can you tell if two equations are parallel?
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
How do you solve a system of equations by graphing?
Write each equations in popular form. ... Make the coefficients of one variable opposites. ... Add the equations ensuing from Step two to remove one variable. Solve for the last variable. Substitute the answer from Step four into one of the unique equations.
