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given a system of two equations how can you tell if its consistent or inconsistent if its dependent or independent lets go over the important things they need to know lets just keep it simple so if you have a system of equation that has only one solution then its going to be consistent and its going to be independent if theres only one solution now sometimes you might have many solutions as opposed to one solution so if you have many solutions will it be consistent or inconsistent it turns out that its still going to be consistent do you think its going to be dependent or independent if theres many solutions its dependent as opposed to independent now sometimes theres going to be no solution if theres no solution its going to be inconsistent in addition its going to be uh independent if theres no solution so make sure you know this information and that will go through a few examples using this uh information so how can we distinguish between one solution no solution an