# Systems Of Equations With 3 Variables

**Use either the elimination or substitution method to solve.**

**Systems of equations with 3 variables**.
So this is essentially trying to figure out where three different planes would intersect in three dimensions.
And to do this, if we want to do it by elimination, if we want to be able to eliminate variables, it looks like, well, it looks like we have a negative z here.
Solving a system of linear equations in three variables steps for solving step 1:

Systems of equations in three variables that are inconsistent could result from three parallel planes, two parallel planes and one intersecting plane, or three planes that intersect the other two but not at the same location. So if i add these two equations, i get 3x plus z is equal to negative 3. Negative y plus y cancels out.

Solve the system of equations: A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. Solving systems of equations in 3 variables.

Systems of three equations elimination author: Linear systems with three variables. And once again, we have three equations with three unknowns.

So x plus 2x is 3x. Write a system of three equations that represents the number of vehicles rented. Otherwise, a combination of the elimination and substitution methods works well.

For example, the sets in the image below are systems of linear equations. Pick a different two equations and eliminate the same variable. Steps in order to solve systems of linear equations through substitution: