How Do You Solve Systems Of Three Linear Equations By Elimination?
One method of solving linear systems is elimination. This involves eliminating variables by adding two of the equations together. With variables eliminated, this makes solving for the remaining variables easier. Systems of three linear equations will have two or more variables you will need to solve for. The correct solution set will work for all three linear equations. Solve the equations so that they are in the same format. For instance, solve your set so that they are in the form x+y=5 or x+y+z=5. This will make it easier to add the equations together to eliminate a variable. Determine if a variable can be eliminated. The terms must be exact opposites in order to cancel out. You will only use two systems at a time. If no terms cancel out, you will need to multiply one or both of your chosen equations by a number that will create opposite coefficients. For instance, if using the two equations 2x+5y-4z=10 and x+3y+2z=5, you will need to multiply the second equation by -2 in order for
