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What makes an equation either inconsistent consistent dependent or independent?
Wiki User
∙ 6y ago
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.
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThe answer depends on its relationship with other equations in a system of equations: not on the equation in isolation.
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Which classifaction best describes the following system of equations x-y-z equals 0 2x-y plus 2z equals 1 x-y plus z equals -2 is it consistent incosistnet dependent or independent?
1st equation: x-y-z = 0 2nd equation: 2x-y+2z = 1 3rd equation: x-y+z = -2 They appear to be simultaneous equations dependent on each other for the solutions which are: x = 4, y = 5 and z = -1
What is consistent and dependent?
The terms consistent and dependent are two ways to describe a system of linear equations. A system of linear equations is dependent if you can algebraically derive one of the equations from one or more of the other equations. A system of linear equations is consistent if they have a common solution.An example of a dependent system of linear equations:2x + 4y = 84x + 8y = 16Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 16, which gives 16 = 16.No new information was gained from the second equation, because we already knew 16 = 16, so these two equations are dependent.An example of an inconsistent system of linear equations:Because consistency is boring.2x + 4y = 84x + 8y = 15Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 15, which gives 16 = 15.This is a contradiction, because 16 doesn't equal 15. Therefore this system has no solution and is inconsistent.
What is inconsistent equation?
An inconsistent equation (or system of equations) is one that has no possible solutions.
Where is the independent variable and the dependent variable on the line graph?
The dependent variable is on the vertical y axis and the independent on the horizontal x axis In the equation for example y = 3x then y is dependent on the independent variable x
What are the independent and depent variables?
You can tell which is the independent variable and which is the dependent variable by changing the equation into an "if/then" statement. Example: y = 3x In this example, x is the independent variable and y is the dependent variable. If you give me x, I will tell you y. If x = 1, then y = 3 If x = 2, then y = 6 So you give me the independent variable, and then I will be able to determine the dependent variable.
The difference between consistent and inconsistent in algebra?
Consistent means that the equation does not have the same slopes. Inconsistent means that it has the same slope.
Are Linear equation systems consistent or inconsistent?
It depends on the equations.
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.
What is more general between Schrodinger time independent or time dependent wave equation?
The time dependent equation is more general. The time independent equation only applies to standing waves.
What are the differences in the use of the time-dependent Schrodinger equation and the time-independent Schrodinger equation?
The time-independent Schr
Which classifaction best describes the following system of equations x-y-z equals 0 2x-y plus 2z equals 1 x-y plus z equals -2 is it consistent incosistnet dependent or independent?
1st equation: x-y-z = 0 2nd equation: 2x-y+2z = 1 3rd equation: x-y+z = -2 They appear to be simultaneous equations dependent on each other for the solutions which are: x = 4, y = 5 and z = -1
Which would be the independent variable and which would be the dependent variable?
A dependent variable is usually on the side of the equation by itself. The independent variable usually has something being done to it. And, the dependent variable is usually written to the left of the equation.
What is consistent and dependent?
The terms consistent and dependent are two ways to describe a system of linear equations. A system of linear equations is dependent if you can algebraically derive one of the equations from one or more of the other equations. A system of linear equations is consistent if they have a common solution.An example of a dependent system of linear equations:2x + 4y = 84x + 8y = 16Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 16, which gives 16 = 16.No new information was gained from the second equation, because we already knew 16 = 16, so these two equations are dependent.An example of an inconsistent system of linear equations:Because consistency is boring.2x + 4y = 84x + 8y = 15Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 15, which gives 16 = 15.This is a contradiction, because 16 doesn't equal 15. Therefore this system has no solution and is inconsistent.
Differentiate of dependent and independent variable?
The dependent variable depends on the independent variable for its values as for example in the straight line equation: y = 2x+1 It is y that is the dependent variable and x the independent variable.
What is a self consistent equation?
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.
What is inconsistent equation?
An inconsistent equation (or system of equations) is one that has no possible solutions.
Where is the independent variable and the dependent variable on the line graph?
The dependent variable is on the vertical y axis and the independent on the horizontal x axis In the equation for example y = 3x then y is dependent on the independent variable x
