Can you check my answer?

Question

If it is wrong can you please explain why and give the correct answer?

Use Gaussian elimination to write the system of equations given below in row-echelon form.

2x+4y+z=-4
2x-4y+6z=13
4x-2y+z=6

answer:2x+4y+z=-4
8y-5z=-17
z=1

Answer 1

Your answer gives

x = -1
y = -3/2
z = 1

but these do not satisfy the original equations. I already gave you a url which shows the row-echelon details.