A benefit of using the graphing method to determine solutions for linear functions is that it is relatively quick and easy, and requires little algebraic work, while a disadvantage of using this method is that it is an approximation, and when working with decimal (not integer) values, your answer will not be accurate. An obvious advantage of using the algebraic method is that it produces a much more reliable and accurate answer every time, and it even allows you to double check your work by plugging x and y back in! A disadvantage is that it takes a longer amount of time, as well as requiring a greater knowledge of how to solve algebraic problems.