Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.

2x + y + z = –7
x – 3y + 4z = –14
x – 2y – 3z = –11

Question

Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.

2x + y + z = –7
x – 3y + 4z = –14
x – 2y – 3z = –11

across · Answer

Matrices! That answer would blow your professor away.

anonymous · Answer

what hahahahaha

zarkon · Answer

I would use an augmented matrix and row reduce to get 

$$[x,y,z]=[-5,3,0]$$

across · Answer

I would code a genetic algorithm with fitness function
$$f(x)=\frac{1}{[a(x)+7]^2+[b(x)+14]^2+[c(x)+11]^2}$$where
$$a(x)=2x+y+z$$$$b(x)=x-3y+4z$$$$c(x)=x-2y-3z$$:P

zarkon · Answer

how about let

$$f(x,y,z)=(2x + y + z +7)^2+ (x – 3y + 4+14)^2+(x – 2y – 3z+11)^2$$

then use the steepest decent algorithm to find the minimum of f