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Q: What does it mean to be a solution to a system of equations?

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there is no linear equations that has no solution every problem has a solution

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.

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.

The solution of a system of linear equations is a pair of values that make both of the equations true.

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.

That means there is no solution.There is no set of numbers that you can assign to the variables in the system of equationsthat will make '2' equal to '0'.

It represents the point of intersection on a graph.

If a system has no solution, it means that the lines are parallel.

Graph both equations on the same graph. Where they intersect is the solution to the system of equations

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

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.

No because there are no equations there to choose from.

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.

The graphs of the two equations have only one intersection point.

A system of linear equations that has at least one solution is called consistent.

No It;s Not A Solution > :)

No

visual,intuitive

Inconsistent.

Not necessarily.

its a system of equations, with no solution

-1

Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.

simultaneous equations

The coordinates of the point satisfy each of the equations.