Q&A for How to Solve Multivariable Linear Equations in Algebra

In order to find the values of 12 variables, you would need to be provided a system of at least 12 equations, each expressed in some of those variables.

You must have three independent equations in the same three variables in order to solve for those variables.

If you have fewer equations than variables, you can solve for the variables only in terms of the other variables rather than as actual numbers. For example, if you have one equation in two variables (x and y), you could solve for x in terms of y or y in terms of x (such as x = 2y, or y = 3x + 1).

If you have two linear equations, you would express them in "y = mx + b" form, then graph them as straight lines. The x- and y-coordinates of the point of intersection are the x-and y-values of the solution. (If the lines are parallel and do not intersect, there is no solution.)