A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function. A system of equations may not have an exact solution that meets the conditions of a real-world solution.
Using graphing technology is a very efficient way to find solutions to equations and systems of equations.
The intersection point of two graphed functions is the solution for a system of equations. It is the point that makes both equations true.
When two different functions f(x) and g(x) are graphed, the x-coordinate of the point of intersection is the solution to the equation formed from f(x) = g(x)
Systems of equations may be a combination of linear and non-linear functions.
A table of values very rarely shows every possible solution to a system of equations. Finding the approximate solution that is between two values on the table can be a good answer in many situations.