Question

In what way is a system of linear equations like three roads out in the desert? In what way is it different? Explain your reasoning.

Answer 1

you can starting thinking like this :

a road can be represented with a linear equation.
3 roads => 3 linear equations.

->if all three roads are interseting at one junciton, there is a solution to the system. it gives the juntion point.
-> if two roads are parallel, then the third road will intersect these two parallel roads, then solving 1, 3 gives one junction, solving 2, 3 gives another junciton.

...

for the difference part, roads in desert can have 2 variables only, where as system of linear equations can have any number of variables... i cant think of any other difference hmm