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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.
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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
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 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 dendent and independent variable?
a dependent variable is one whose value depends on the value of another called the independent variable, as it changes. We often choose y as dependent and x as independent For example in the equation y = 3x + 2 x is independent; whatever you change it to y is dependent upon it If x = 1 y = 5 If x = 2 y = 8
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.
