SOLUTION: Solve this system of equations. x+y+z= -1 2x+4y+2z= -2 -x+6y-3z= -21 Write the solution as an ordered triple. (Type an exact answer in simplified form. If

Question 114043: Solve this system of equations.
x+y+z= -1
2x+4y+2z= -2
-x+6y-3z= -21

Write the solution as an ordered triple.

(Type an exact answer in simplified form. If the solution is the empty set, type N for each coordinate. If there are infinitely many solutions, type I for each coordinate.)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
x + y + z = -1
2x + 4y + 2z = -2
-x + 6y - 3z = -21
divide 2nd one by 2
x + 2y + z = -1
multiply each side by -1
-x - 2y - z = 1
add it to the 1st one
x + y + z = -1
-x - 2y - z = 1
y - 2y = 0
-y = 0
multiply both sides by -1
y = 0
The 3rd equation is
-x + 6y - 3z = -21
y = 0
-x - 3z = -21
The 1st equation is
x + y + z = -1
y = 0
x + z = -1
add the 3rd and 1st
-2z = -22
z = 11
The 2nd one is
-x - 2y - z = 1
y = 0
z = 11
-x - 11 = 1
-x = 12
x = -12
The solutions are x = -12, y = 0, z = 11
RELATED QUESTIONS
Solve this system of equations. x+ y+ z= 1 2x+y+2z= -2 -x+y-3z= -21... (answered by ankor@dixie-net.com)

Please help... I tried to solve this, but no result. I eliminated z in 1&2,and 2&3, but... (answered by htmentor,ikleyn)

Solve the system of equations: x+y+z=1 3x-2y-z=5 x+3y+2z=3 (Enter your answer as an (answered by MathLover1)

Solve the system of equations: x+y+z=1 3x-2y-z=5 x+3y+2z=3 (Enter your answer as... (answered by MathLover1,Edwin McCravy)

Can someone help me? I need to write the final answer as an ordered triple (x,y,z)... (answered by Alan3354,MathLover1,MathTherapy)

I really need help please, Solve this system of inequalities, and write the solution... (answered by jim_thompson5910)

How do I solve this ordered triple system of equations? 3x-2y+3z=-27 (1) 4x+y-2z=5 (2) (answered by Finavon)

solve this equations. Write the solution as an ordered triple 5x + 3y + z =23 x - 3y (answered by Edwin McCravy)

Please help me with this problem as soon as possible Thank You Solve the system of... (answered by ankor@dixie-net.com)