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If a dependent system of equations is solved how many solutions will there be?
if a dependent system of equation is solved, how many solutions will there be?
If a system of linear equations has many solutions what would be the correct mathematical description of the system?
dependent
The three quantities of solution linear equations?
The three quantities of solution for linear equations are consistent, inconsistent, and dependent. A consistent system has at least one solution, either unique or infinitely many. An inconsistent system has no solutions, meaning the equations represent parallel lines that never intersect. A dependent system has infinitely many solutions, indicating that the equations represent the same line in different forms.
What is a solution to a system?
an ordered pair that makes both equations true
If a system of equations is dependentthat means all of the points on the graph of one equation match all of the other equation what types of lines would be the result of dependent system of equation?
In a dependent system of equations, the lines represented by the equations are identical; they overlap completely. This means that every point on one line is also a point on the other line. As a result, the lines appear as a single line on the graph, indicating infinitely many solutions.
If a dependent system of equations is solved how many solutions will there be?
if a dependent system of equation is solved, how many solutions will there be?
What is a dependent system?
A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.
What are equations with the same solution?
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
If a system of linear equations has many solutions what would be the correct mathematical description of the system?
dependent
What is system dependability?
A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.
How many solutions does an consistent and dependent system of equations have?
It has more than one solutions.
What is an ordered pair that makes all equations in a system true?
That would be the "solution" to the set of equations.
If a system of equations is dependent how many solutions will it have?
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
A system of two linear equations has infinitely many solutions if?
One equation is simply a multiple of the other. Equivalently, the equations are linearly dependent; or the matrix of coefficients is singular.
What is a solution to a system?
an ordered pair that makes both equations true
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 makes an equation either inconsistent consistent dependent or independent?
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.
