What is the solution of the system shown? (-8, 12) (8.-12) (8, 12)

Answer: To find the solution of a system represented by coordinates such as (-8, 12), (8, -12), (8, 12), we would typically need more information about the problem. The set of coordinates alone does not describe a system of equations from which a solution can be derived.

However, if the question is referring to whether one of these coordinates is the solution to a system of linear equations given by the other two points, then we would need to know the equations or have more context surrounding the problem.

If you are asking which among these points satisfies a particular equation or set of equations, you need to provide the equation(s) that we are considering for the system.

Extra: A "system of equations" typically consists of two or more algebraic expressions that are set equal to each other. For example, a system of two linear equations in two variables (x and y) might look like this:

1. ax + by = c 2. dx + ey = f

The solution to a system of equations is the set of values for the variables that makes all the equations true simultaneously. In graphical terms, for two linear equations, the solution is the point where the two lines intersect.

To solve a system of equations, one might use methods such as graphing, substitution, or elimination. If the system is graphically represented, you would look at where the lines or curves intersect, and the coordinates of that intersection point are the solutions to the system.

For the points you've provided (-8, 12), (8, -12), (8, 12), these could be points on a graph. If they're plotted on a Cartesian plane, you would see that they are distinct points, and without further context, they do not form a system of equations by themselves. They could be solutions to different systems, or in a specific puzzle or context, they might represent particular conditions or constraints, but more information is definitely required to determine a 'solution' with regards to these three points.