Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.

4x - y + 3z = 12
x + 4y + 6z = -32
5x + 3y + 9z = 20

A. {(8, -7, -2)}

B. {(-8, -7, 9)}

C. ∅

D. {(2, -7, -1)}

Question

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. 

4x - y + 3z    =   12
x + 4y + 6z    = -32
5x + 3y + 9z    =   20

A. {(8, -7, -2)} 


B. {(-8, -7, 9)} 

C. ∅ 

D. {(2, -7, -1)}

tiffanymak1996 · Answer

do you know what's Gaussian elimination ?

tiffanymak1996 · Answer

if you don't this should help: http://mathworld.wolfram.com/GaussianElimination.html

anonymous · Answer

i do know what it is. I think the answer is C and I just want to verify if it is correct

tiffanymak1996 · Answer

you can substitute the answers back into the equations to see if you get the correct answer.

tiffanymak1996 · Answer

actually, c is the correct answer.

anonymous · Answer

i think there is no solution

anonymous · Answer

ok thanks