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How do you determine if a system of equations are inconsitent or consitent?
Wiki User
∙ 11y ago
If the determinant of the matrix of coefficients is non-zero then they are consistent.
More simplistically, if the lines representing the equations meet at a single point, the equations are consistent and if they don't, the equations are inconsistent. This is easy to check graphically in 2 and possibly 3 dimensions but not more. The determinant method always works.
Wiki User
∙ 11y ago
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If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
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 system of equations?
A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.
When lines overlap in a system of equations?
Then they are simultaneous equations.
Can a system of equations have more than two inequalities?
A system of equations can have any number of inequalities.
How can you determine if the given ordered pair is a solution to the system of equations?
Plug your ordered pair into both of your equations to see if you get they work.
Which of these is a reason to substitute the values back into the equations when solving a system by graphing?
you cannot determine the exact value of the point
How can you determine whether a system has no solutions by graphing?
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
Solving the system of equations by graphing?
Graph both equations on the same graph. Where they intersect is the solution to the system of equations
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
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 system of equations?
A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.
Determine if the ordered pair y3x 5 yx 9 211 isa solution to the system of equations?
Tell whether the ordered pair (5, -5) is a solution of the system
How can you determine whether a point is a solution to system of equations?
You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not 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.
What are two or more equations called?
A system of equations.
