Consider the following system of equations: [Note that a single solution exists and is (1, 4, -3). You do NOT need to solve the entire system to answer the question, you just need to compute the first 2 steps as described below.]
x+4y-z=20
3x+2y+z=8
2x-3y+2z=-16
If my first step in solving the above system is to add equation 1 and 2 to get a new equation, equation 4, and then if my second step is to multiply equation 1 by -2 and add it to equation 3 to get another new equation, equation 5, then is it possible to use the addition or substitution method on my new system (equation 4 and 5 both, now, with only 2 variables) to solve for a single variable?