solving three equations with three variables

1. Choose two of the three equations and eliminate a variable from them with any method of elimination.
2. Choose a different pair of two equations and eliminate the same variable from step 1.
3. Take the two new equations made in steps 4 and 5 and eliminate another variable, leaving you with one remaining variable, and solve for that variable.
4. Plug that value into either one of the two equations made in steps 4 and 5 that contain only two variables, and solve for the second variable.
5. To find the value of the third variable, plug your other two values into any of the three original equations, and solve for the third variable.
6. Check the solution in all three of the original equations.