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If they are quadratic equations then if their discriminant is less than zero then they have no solutions

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Q: Which of the following systems of equations has no solution?
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Which of the following equations has the solution set 0?

It would help very much if the "following equations" actually DID follow!


What is a systems of equations that has the same solution set as another system?

They are called equivalent systems.


Systems of equations have one solution?

Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.


When equations of linear systems have different slopes how many solutions does it have?

One solution


Why are systems of equations important?

A single equation is several unknowns will rarely have a unique solution. A system of n equations in n unknown variables may have a unique 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.


When solving systems of linear equations what does the solution represent?

A single point, at which the lines intercept.


Can systems of equations with the same slopes and different y-intercepts have no solution?

It is a correct statement.


What best describes the solution to the system of equations below?

Which of the following best describes the solution to the system of equations below?3x + 6y = 10 9x + 18y = 30


When solving systems of linear equation's when would you get no solution as an answer?

You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.


How can graphs be used to estimate the solution for a system of linear equations?

Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.


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