Chapter 6 Flashcards
Solution of a system of linear equations
Any ordered pair that makes all of the equations in a system true
Consistent
A system of equations that has at least one solution
Independent
Has exactly 1 solution
Dependent
Has infinitely many solutions
Inconsistent
A system of equations that has no solution
Substitution method
A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable
Elimination Method
A method for solving a system of linear equations. You add or subtract the equations to eliminate a variable
Linear inequality
In two variables, such as y>x-3, can be formed by replacing the equal sign in a linear equation with an inequality symbol
Solution of an inequality
In two variables is an ordered pair that makes the inequality true
System of linear inequalities
Is made up of two or more linear inequalities
Solution of a system of linear inequalities
Is an ordered pair that makes all the inequalities in the system true
System of linear equations
Two or more linear equations