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What does it mean when a system of nonlinear equations has an extraneous solution?
Wiki User
∙ 12y ago
It means you performed an operation on the system which was not invertible. This allowed you to come to a solution but that solution is not correct since it is not a proper biconditional relations. That is, you can solve it in terms of p->q but not the reverse (since the inverse operation is not possible).
Wiki User
∙ 12y ago
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If there is no solution to a system of equations it means?
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
When using the substitution method to solve a nonlinear system of equations you should first see if you can one variable in one of the equations in the system?
isolate
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
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.
In a system of nonlinear inequalities the solution set is the region where shaded regions?
overlap
If there is no solution to a system of equations it means?
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
What is the first step in solving a system of nonlinear equations by substitutions?
In general, a system of non-linear equations cannot be solved by substitutions.
When using the substitution method to solve a nonlinear system of equations you should first see if you can one variable in one of the equations in the system?
isolate
Which is most likely the first step in solving a system of nonlinear equations by substitution APEX?
Isolating a variable in one of the equations.
How many solutions does the nonlinear system of equations graphed below have?
2
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).
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
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 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.
How many solutions does a nonlinear system of equations?
None, one or many - including infinitely many.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
