How do you imagine the graph of a three variablesystem of three equations would look? How about the graph of asystem of four equations in four variables?
First, think about a two variable system, the corresponding graphand what each equation in the system represents. Then, expand thisidea to three variables and discuss the possible cases forsolutions to the system. Finally, extend the idea to fourvariables.
If you produce three items that each require three inputs, then youcan use a system of three equations in three variables to solve. Asan example, you could make small , medium and large pizzas ( thesewould be your variables). Your equations ( constraints) would comefrom limitations on how much dough , pizza sauce and cheese youhave.
How can you relate a point, a line segment, a square and acube?
How can you relate a point, a line segment , a circle and a sphere?Hint, start with the smallest of these and think about how youcould build up to the next one and then the next one.
It is college allgebra.
