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A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane

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9y ago
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9y ago

It is a set of values for each of the variables such that, when these values are substituted for the variables in the system of equations, they are true.

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Q: A definition of a solution to a system of equations?
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What is the definition of solution of system of linear equations?

The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.


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.


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.


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


Is (1 10) a solution to this system of equations?

No because there are no equations there to choose from.


When solving a system of equations by graphing how is the solution found?

The solution is the coordinates of the point where the graphs of the equations intersect.


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.


Must solutions to systems of linear equalities satisfy both equalities?

Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.


What is the solution to the system of equations?

visual,intuitive