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Independent system.

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Q: What is a system called when it has one solution?
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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 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).


System of equations in slope-intercept form that has one solution Using complete sentences explain why this system has one solution?

Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.


What system of two linear equations in two variables that has exactly one solution?

An independent system has one solution.


How do you know if a system has one solution?

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.


A system of equations with exactly one solution?

A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.


A mixture in which one substance dissolves in another is called?

A mixture that forms when one substance dissolves is called solute. The substance that does the dissolving is called a solution.


How will a system of equations that has one solution be graphed?

They will be a set of lines meeting at one point - the solution.


What is a unacceptable solution called?

An unacceptable solution is an extraneous one.


How many solutions will a system have if the graph of the solution is intersecting lines?

one solution


How many solutions will a system have if the graph of the solution is intersecting line?

One solution


What is a set of equations in the same variables?

It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.