In any algebraic-situation, unknown variables have values that can be solved
or 'found' as long as there is enough 'information' about the unknowns. For
instance, basic-algebra would tell you that solving for 'x' (in a single equation)
is easy by doing the math. For example, if we are provided the following
information:
2x + 5 = 11
We can solve for 'x' with basic-algebra:
2x = 6x = 3
If there are two or more unknowns - such as 'x' and 'y' - there would have to
be more equations in order to find a solution for both of them. This java-script
page demonstrates how to find an answer for each variable in a system of
equations. Specifically, if there are more variables than just 'x', many
steps have to be taken to find all of the answers. A system of (randomly
generated) algebra equations will apper at the top of the screen after you
click the NEW MATRIX button.
For each unknown variable, there will be another equation - or 'piece of
information.' This tool converts the equations into an (augmented) matrix, and
solves for all of the unknowns using Row Operations.