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What types of lines would be the result of an inconsistent system of equation?
Wiki User
∙ 13y ago
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
Wiki User
∙ 13y ago
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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.
Is the equation 32x-4 equals -18 equivalent to 6x-12 equals -18?
No. In the coordinate plane, for example, they would result in different lines.
What does it mean for a system to be consistent or inconsistent?
does it stay the same or not? Actually, a system is inconsistent if you can derive two (or more) statements within the system which are contradictory. Otherwise it is consistent. For example, Eucliadean geometry requires that given a line and a point not on that line, you can have one and only one line through the point which is parallel to the original line. However, you can have a consistent system of geometry if you assume that there is no such parallel line. This is known as the projective plane. You can assume that there will be an infinite number of parallel lines through a point not on the line. And again you can have a consistent system. Consistency or inconsistency has nothing whatsoever to do with time.
Which of these number lines represents the solution to this equation?
That one, there!
How do you model your equation on a number line to show your answer?
You model your equation on a number line to using a bar model.
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?
In two dimensions, parallel ones. In three dimensions, either parallel or skew ones.
How many solutions does an inconsistent system of equations have?
If a system is inconsistent it cannot have any solutions.A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.
A system of equations of two or more parallel lines is called a what?
Inconsistent
In solving a system of two linear equations or two functions by graphing what is meant by if the system is consistent or inconsistent?
A system of linear equations is consistent if there is only one solution for the system. Thus, if you see that the drawn lines intersect, you can say that the system is consistent, and the point of intersection is the only solution for the system. A system of linear equations is inconsistent if it does not have any solution. Thus, if you see that the drawn lines are parallel, you can say that the system is inconsistent, and there is not any solution for the system.
what- use the slopes and y- intercepts of he lines to determine the number of solutions to the system?
inconsistent
Jake and Erica were solving a system of equations They both noticed that the two lines had the same slope Jake said that because each line in the system had the same slope the two lines had to be t?
Since the lines have the same slope, they are parallel lines (there is not an intersection point), so the system does not have a solution (inconsistent system).
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
What is dependent and inconsistent system?
Suppose we have two linear equations in two unknowns. If the equations are plotted on a rectangular grid, the graph will fit one of these scenarios: 1) The two lines cross each other (intersect). 2) The two lines don't cross - they are parallel lines 3) The two lines fall on top of each other - they're really the same line. In case 3) the two lines are dependent - one can be changed into the other. In cases 1) and 2) we say the lines are independent. If the pair of equations has a solution (one or more points in common) we say they are consistent ... cases 1) and 3). In case 2) the system is inconsistent; there is no solution. To summarize: 1) Intersecting lines are consistent and independent. 2) Parallel lines are inconsistent and independent. 3) Coincident ["happen together"] lines are consistent and dependent. *** A second order linear system CANNOT be both dependent and inconsistent.
Why does the intersection of the two lines represent the solution of the linear equation system?
The solution to a system is an ordered pair (x,y) where the two lines intersect.
Does every system of a linear equation have a solution?
No, if two lines are parallel they will not have a solution.
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.
How many solution does a system of equation with lines of same slope and y-intercept have?
Two lines with the same slope and y-intercept look like one single line. The "system" of equations consists of the same equation twice. The lines coincide at every point, which means there are an infinite number of solutions.
