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It is essentially a list of equations that have common unknown variables in all of them. For example,
a+b-c=3
4a+b+c=1
a-2b-7c=-2
would be a system of equations. If there are the same number of equations and variables you can usually, but not always, find the solutions. Since there are 3 equations and 3 variables (a, b, and c) in this example one can usually find the value of those three variables.
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DevinIt is essentially a list of equations that have common unknown variables in all of them. For example,
a+b-c=3
4a+b+c=1
a-2b-7c=-2
would be a system of equations. If there are the same number of equations and variables you can usually, but not always, find the solutions. Since there are 3 equations and 3 variables (a, b, and c) in this example one can usually find the value of those three variables.
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What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is a inconsistent system?
An inconsistent system of equations is when you have 2 or more equations, but it is not possible to satisfy all of them at the same time. (E.g if you have 3 equations, but can only satisfy 2 at once, it is an inconsistent system).
What does the answer 12 equals 12 in a system of equations mean?
It probably means that one of the equations is a linear combination of the others/ To that extent, the system of equations is over-specified.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
Which best describes a system of equations that has no solution?
An "inconsistent" set of equations. If they are all linear equations then the matrix of coefficients is singular.
