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.
And your question is......................?
no solution
An inconsistent equation (or system of equations) is one that has no possible solutions.
Inconsistent.
When the matrix of coefficients is singular.
We call the coefficients of the variables in the system D, and we need to find the determinant of D. When D = 0, the system is either inconsistent or dependent. You need another method to solve it.
And your question is......................?
an independent system only has one solution, a dependent has many or an infinite number and an inconsistent system has 0 because the line are parelle
I bet it can be done, but I'll be darned if I can!
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.
no solution
How many solutions does an inconsistent system have
An inconsistent system of equations is when you have 2 or more equations, but it is not possible to satisfy all of them at the same time. (E.g if you have 3 equations, but can only satisfy 2 at once, it is an inconsistent system).
It is an inconsistent system.
inconsistent
An inconsistent equation (or system of equations) is one that has no possible solutions.
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.