Question

Solve the following system of equations.

x + 4y + z = –10
3x – 3y + 6z = –21
x + 2y + 2z = –10

Answer 1

x + 4y + z = –10
3x – 3y + 6z = –21
x + 2y + 2z = –10

A) (1, –2, –3)

B) (–4, –1, –2)

C)(–3, –2, –3)

D)(2, –2, –4)

Answer 2

Write it as a matrix, and then write that matrix in reduced row echelon form. I'll do it but I'm not an artist so:

1,4,1,-10
3,-3,6,-21
1,2,2,-10

in reduced row echelon form:

1,0,0,-4
0,1,0,-1
0,0,1,-2

x = -4, y = -1, z = -2

Answer 3

B)

Answer 4

Thank you (:

Answer 5

B) (–4, –1, –2)