solutions to systems of equations consistent vs inconsistent khan academy systems of linear equations inconsistent systems using elimination by addition example 1 you dependent and inconsistent systems systems of linear equations inconsistent systems using elimination by addition example 2 solutions to systems of equations consistent vs inconsistent khan academy inconsistent system of equations definition example lesson transcript study com solving systems of linear equations in three variables using determinants dependent and inconsistent systems topic identifying the operations used to create equivalent systems of equations how to solve linear systems using gaussian elimination lesson transcript study com one solution no solution or infinitely many solutions consistent inconsistent systems a solution to an independent systema linear system with two variables that has exactly one ordered pair solution is an ordered pair x y summary possibilities for the solution set of a system of linear equations dependent system of linear equations examples linear system of equations with infinitely many solutions inconsistent equations dependent equations consistent equations first of all we don t always deal with n equation of n variables if there are fewer equations than variables then the system is underspecified use elimination to solve the system of equations powerpoint ppt presentation using linear combinations to solve systems of equations true or false quiz about a system of linear equations we can see from above that if a system of linear equations is put in augmented form a b then it has a solution if b is a linear combination of columns systems of equations three equations system of combinations solved algebraically that has infinite solutions back substitution we can see that both equations represent the same line and thus the system is dependent now explore what happens when solving an inconsistent system using system of equations one solution no solution or infinitely many solutions you dependent equations and systems how many solutions does a system of linear equations have if there are at least two khan academy this table has four rows and three columns the first column acts as the header system of linear equations two or more linear equations 6 1 graph the second equation on the same again in this table wc arbitrarily selected the values of x to be 2 0 and 5 here we selected values for x to be 2 4 and 6 you could have chosen any 1 5 topics identifying solutions to linear equations in two variables classifying systems of