Please help with this math problem. Thankkkk youuuu.

The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination.
x + y + 6z = 6
x + y + 3z = 6
x + 2y + 4z = 4


{x,y,z}=

(1) : x + y + 6z = 6

(2) : x + y + 3z = 6

(3) : x + 2y + 4z = 4


You calculate (1) - (2) and you get the equation (4):

(4) : (x + y + 6z) - (x + y + 3z) = 6 - 6

(4) : x + y + 6z - x - y - 3z = 0

(4) : 3z = 0

→ z = 0

You calculate (3) - (2) and you get the equation (5):

(5) : (x + 2y + 4z) - (x + y + 3z) = 4 - 6

(5) : x + 2y + 4z - x - y - 3z = - 2

(5) : y + z = - 2 → recall: z = 0

→ y = - 2


Recall (1) : x + y + 6z = 6

x = 6 - y - 6z → recall: z = 0

x = 6 - y → recall: y = - 2

→ x = 8

Why don't you pay attention in class, study and learn how to do it yourself instead of making other people do your work for you.
Other people work hard to succeed in class, why is it ok for you to mooch off others?
;)