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Depending on the context, the "feasible region" or "solution set".

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Q: What is the set of values that solve a system of equations called?
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What does it mean to solve a system of linear equations?

Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.


What does it mean to solve a system?

Finding a set of value for the set of variables so that, when these values are substituted for the corresponding variables, all the equations in the system are true statements.


What is the situation when two linear inequalities have no common solution?

To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent). To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent). To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent). To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent).


Solve the following system of equations using sustitution x6y-4 x-2y 28?

To solve a system of equations, you need equations (number phrases with equal signs).


What methods of solving systems are needed to solve a three variable system?

Simultaneous equations are usually used in mathematics to find the values of three variables within a system.


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 does writing equivalent equations help you solve a system of equations?

You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.


What is it called when you solve for two lines of algebraic equations simultaneousley?

Its called Simultaneous Equations


Translate this word problem as a system of equations and then solve using substitution?

A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.


How do you solve 3 dimensional equations?

You can solve the system of equations with three variables using the substitute method, or using matrix operations.


Is there one method to solve a system of equations?

No, there are several methods.


To solve a three variable system of equations you can use a combination of the elimination and substitution methods?

True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.