Explain, in complete sentences, which method you would use to solve the following system of equations and why you chose that method. Provide the solution to the system.

x – 2y + z = 0
2x – 3y – 4z = –9
x + 2y – 5z = 0

need some help on this question

Question

Explain, in complete sentences, which method you would use to solve the following system of equations and why you chose that method. Provide the solution to the system.

x – 2y + z = 0
2x – 3y – 4z = –9
x + 2y – 5z = 0

need some help on this question

mathstudent55 · Answer

I would use elimination because by multiplying some equations by simple factors, you can easily eliminate a variable, and solve a system of two equations in two variables. Then you substitute those two variables in one of the original equations, and solve for the 3rd variable.