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.
Oh, dude, an inconsistent equation is like when you're trying to solve a math problem, but the equation is all over the place and doesn't have a solution. It's basically a dead-end road in Mathville where the numbers just don't add up, and you're left scratching your head wondering what went wrong. It's like trying to mix oil and water - they just don't go together, man.
x+5=10 and x+5=15
3x2 -12x+24=-10x-20-3x2+6
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.
In two dimensions, parallel ones. In three dimensions, either parallel or skew ones.
Inconsistent.
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.
It is a system of linear equations which does not have a solution.
There is no solution since the equation is inconsistent.
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
x+5=10 and x+5=15
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
3x2 -12x+24=-10x-20-3x2+6
It is an inconsistent system of equations. --- Or perhaps you want examples? One pair of inconsistent equations: x + y = 4 x + y = 1 Another pair: y = x2 + 3 y = 1 (In the first equation of this pair, y is minimised when x = 0, when its value is 3. But the second equation claims that y = 1.)
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.
In two dimensions, parallel ones. In three dimensions, either parallel or skew ones.