That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
An inconsistent equation is basically a hot mess in the world of math. It's when you have a system of equations that have no solution when graphed together. In other words, it's like trying to mix oil and water - they just don't play nice together. So, when you come across an inconsistent equation, it's basically telling you to go back to the drawing board and try again.
y=x2; if you graph it, it is not a line.
3x2 -12x+24=-10x-20-3x2+6
Equation: 5+(x-1)^2 Example: Rainbow
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.
It depends on the equations.
Consistent means that the equation does not have the same slopes. Inconsistent means that it has the same slope.
The opposite of an inconsistent oneI'm not trying to be a wise guy. It's just easier to give you an example of an inconsistent equation and then tell you that a "self-consistent" one is the opposite. Here's an example of an inconsistent equation:3x/(x-2) = (4x2 - 8x)/(x2 - 4x + 4)On its face, it looks perfectly fine. It is not immediately obvious that you can't solve for x and get a meaningful result. But if you take the time to factor the numerator and denominator of the righthand part of the equation, you'll start to see the problem. If you continue and try to solve for x using normal algebraic techniques, you will get the impossible result: 3 = 4.That result shows that your starting equation is internally inconsistent; that is, it is not consistent with itself.Solution:3x/(x-2) = (4x2 - 8x)/(x2 - 4x + 4)3x/(x-2) = 4x(x - 2)/(x - 2)23x = 4x!!Don't you like x=0?As a solution to your full-consistent equation?Beside that, your definition of self-consistent equation is right. On the contrary the specific example is not.It is worth noting that often "self-consistent equation" is a misuse for "self-consistency equation", namely an equation whose role is to guarantee the self consistency of a theory (model, whatever). If the equation is satisfied then the theory is self-consistent.Literally a "self-consistent equation" is a meaningful one.
it depends, please give an example of the equation.
It is a system of linear equations which does not have a solution.
There is no solution since the equation is inconsistent.
That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
The 1st step would be to give an example of the equation to be solved.
If they are inconsistent and you try to solve them you will get something like: 5=0, which of course isn't true so... you can't solve them
An inconsistent equation is basically a hot mess in the world of math. It's when you have a system of equations that have no solution when graphed together. In other words, it's like trying to mix oil and water - they just don't play nice together. So, when you come across an inconsistent equation, it's basically telling you to go back to the drawing board and try again.
y=x2; if you graph it, it is not a line.