Graphing an equation allows you to visualize the relationship between variables and predict values of one relative to the other
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Graphical solutions can only be approximate. Looking at a graph you might think that lines cross at (2, 5) but it might be (1.99, 5.01).
Algebraic equations, trigenometric equations, linear equations, geometric equations, partial differential equations, differential equations, integrals to name a few.
A = coefficient matrix (n x n) B = constant matrix (n x 1)
You will obtain a more accurate answer than is possible using graphical methods. It's faster and less work than using a table.
The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.