How Do You Solve Systems Of Linear Equations In Three Variables?
Systems of linear equations will sometimes have three variables. These can be solved the same was as two-variable equations, but they take a few more steps. Linear equations with three variables will have an x, y and z variable. There are two ways to solve systems of linear equations with three variables, but the best way is by using the elimination method. Solve the three equations so that they are in the form x+y+z=4. By having the equations in the same order, you will be able to eliminate variables easier. Choose which variable you wish to eliminate. The coefficients of the variables must be exact opposites. You will be adding them together, so opposites are necessary for elimination. You will only be using two equations at a time. Add the two equations together to cancel out one of your variables. If nothing cancels out, you may need to multiply one or both of your equations by a number that will create equal, opposite coefficients. For instance, for the two equations x+2y+5z=1 and
