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No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.
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Do all rational equations have a single solution?
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
What is a system of equations that has a solution of all points on one line?
Linear system
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 the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
Do all rational equations have a single solution?
Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.
Do all rational equations have an single solution?
yes they do except for the one on your test that is worth he most marks
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
What is a system of equations that has a solution of all points on one line?
Linear system
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.
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 the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
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.
What is meant by trivial solution?
a trivial solution is one in which all the unknown are equal to zero.. Of course this only occurs in homogeneous equations
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
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.
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.
