How do you solve a system of equation with 3 equations and 3 variables?

Answer:
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers.
If you don't:
You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination.

For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two variables.
First answer by Mehtamatics. Last edit by Mehtamatics. Contributor trust: 610 [recommend contributor recommended]. Question popularity: 2 [recommend question].