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What does it mean for a system of linear equations to have no solutions?
It means that there is no set of values for the variables such that all the linear equations are simultaneously true.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
Do you have to use the same variables for all equations when creating a system of equations?
The idea is to work with the same variables, but it is possible that some of the variables are missing in some of the equations.
If an equation is an identity what is true about the solution?
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
What is the meaning of solution of an equation?
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
What is the main goal when solving equations?
The main goal is to find a set of values for the variables for which all the equations are true.
What does it mean for a system of linear equations to have no solutions?
It means that there is no set of values for the variables such that all the linear equations are simultaneously true.
What does solving a system of equations actually mean?
That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.
What does it mean to solve a system?
Finding a set of value for the set of variables so that, when these values are substituted for the corresponding variables, all the equations in the system are true statements.
What does it mean to solve a system of linear equations?
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
What does it mean to have a solution in math?
It means that, given a set of unknown variables, you have a set of values such that if you substitute these values for the corresponding unknowns in the equations or inequalities you have a set of statements which are all true.
What is the elimination methods?
A method for solving a system of linear equations; like terms in equations are added or subtracted together to eliminate all variables except one; The values of that variable is then used to find the values of other variables in the system. :)
How are tables and graphs like equations?
They all show the values for a set of variables for different situations or outcomes.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
Do you have to use the same variables for all equations when creating a system of equations?
The idea is to work with the same variables, but it is possible that some of the variables are missing in some of the equations.
What is the solution to the equation?
It is the set of values for all the variables in the equation which make the equation true.
What is to determine all the values of the variables that make the proportion true?
It is finding all the solutions of a proportional relationship.
