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A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.

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โˆ™ 2014-08-21 17:21:50
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Q: What is a system of linear equations?
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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.


A system of linear equations that has soluton is?

A system of linear equations that has at least one solution is called consistent.


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 are the linear systems?

A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.


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 inconsistent system of linear equation?

It is a system of linear equations which does not have a solution.


What are two or more linear equations using the same variables called?

A system of linear equations.


What is the classification of a system of equations?

The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential 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 is a group of linear equations that use the same variables?

a system of equations


What is the point at which the lines intersect in a system of linear equations?

The coordinates of the point of intersection represents the solution to the linear equations.


Must solutions to systems of linear equalities satisfy both equalities?

Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.


What does it mean for a system of linear equations to have no solutions?

It means that there is no set of values for the variables such that all the linear equations are simultaneously true.


Are system of equations and system of linear equation the same?

No....not necessary


What is true about the lines represented by this system of linear equations?

That they, along with the equations, are invisible!


There is a system of linear equations with exactly two solutions is it true or false?

False. There can either be zero, one, or infinite solutions to a system of two linear equations.


How can you solve a system of equations?

The answer depends on whether they are linear, non-linear, differential or other types of equations.


How many solutions does the system of linear equations shown have?

As there is no system of equations shown, there are zero solutions.


When does a system of linear equations in two variables have a unique or one solution?

simultaneous equations


Which ordered pairs is a solution of the given system of linear equations?

That would depend on the given system of linear equations which have not been given in the question


What is cramer rule?

In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.


Are linear equations and functions different?

All linear equations are functions but not all functions are linear equations.


What is true about a system of two linear equations that has no solution?

The two equations represent parallel lines.


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 is a system of equations that has a solution of all points on one line?

Linear system

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