Question

Part 1: Explain, in complete sentences, which method you would use to solve the following system of equations. (1 point)
Part 2: Explain why you chose that method (1 point)
Part 3: Provide the solution to the system. (2 points)
x – 3y + 2z = –12
x + 2y + 3z = 6
2x – 3y – z = –2

Answer 1

Part 1: I would use elimination.
Part 2: I chose that method because I think it is the easiest.
Part 3: Subtract equation 2 from equation 1: -5y-z=-18
Multiply equation 2 by -2: -2x-4y-6z=-12
Add equation 3: 2x-3y-z=-2
-7y-7z=-14
Divide that equation by -7: y+z=2
Add -5y-z=-18
-4y=-16
y = 4
Substitute in y +z=2 4+z=2
z=-2
Substitute y and z in the second equation: x+2(4)+3(-2)=6
x=4
Solution: (4,4,-2)

Answer 2

You're amazing