There are two kinds of systems of equations, the inconsistent and consistent. If the system is inconsistent, then there is no solution and there are parallel lines. However, consistent mens that there is one solution which is called the independent and infinite solutions (dependent).
There are two methods in which systems of equations can be solved. The first is substitution and in substitution, you have t o first solve 1 equation for one variable then substitute it into another then solve for the variable. From this point you would have to back substitute in order to find the 2nd variable. The second method is elimination where you would interchange any 2 equations then multiply by a constant number then add one equation to the other to eliminate a variable.
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