How do we do systems of equation and then how do we label it as one solution, no solution, or infinitely many solutions. i had a brain fart

To solve Systems of Equations you can use graphing, substitution, or by adding, subtraction, multiplying, or division methods. One solution is consistent and dependent. No solution is inconsistent. Infinitely many solutions is consistent and dependent.

For our class what I did was you can get the equation in slope-intercept form. Then plot the lines. If the lines meet then the point they meet at is the one solution. If they don't meet then there is no solution. If the equations are the same then there are infinite solutions. Before you comment with "that takes to long" like I know you will, I just did this for fun.