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Describe a consistent independent system of linear equations?
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
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 does it mean if there are an infinite number of solutions for a system of linear equations?
It means that the equations are actually both the same one. When they're graphed, they both turn out to be the same line.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
What does the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
Describe a consistent independent system of linear equations?
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
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.
How many solutions does the nonlinear system of equations graphed when the graph open up and down?
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
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.
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.
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 does it mean if there are an infinite number of solutions for a system of linear equations?
It means that the equations are actually both the same one. When they're graphed, they both turn out to be the same line.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
What does the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
What system of two linear equations in two variables that has exactly one solution?
An independent system has one 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.
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
