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What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What are two or more linear equations using the same variables called?
A system of linear equations.
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
Can a system of linear equations in two variables have infinitely solutions?
Yes.
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
What system of two linear equations in two variables that has exactly one solution?
An independent system has one solution.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What is a unique solution in linear equations?
This is the case when there is only one set of values for each of the variables that satisfies the system of linear equations. It requires the matrix of coefficients. A to be invertible. If the system of equations is y = Ax then the unique solution is x = A-1y.
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
What are two or more linear equations using the same variables called?
A system of linear equations.
What is a group of linear equations that use the same variables?
a system of equations
What are the applications of cramer's rule?
Cramer's rule is applied to obtain the solution when a system of n linear equations in n variables has a unique solution.
What is a system of linear equations in two variables?
They are a set of equations in two unknowns such that any term containing can contain at most one of the unknowns to the power 1. A system of linear equations can have no solutions, one solution or an infinite number of solutions.
Which of the following is a system of linear equations in two variables?
Simultaneous equations have at least two unknown variables.
