SOLUTION: Solve the system by elimination. -4x-5y-z=18 -2x-5y-2z=12 -2x+5y+2z=4

Algebra.Com
Question 1023814: Solve the system by elimination.
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve the system by elimination.
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
-------------
Pick a variable to eliminate 1st.
All y terms have the same coefficient 5:
---
-4x-5y-z=18
-2x-5y-2z=12
------------------ Subtract
-2x + z = 6 Eqn A
---
-2x-5y-2z=12
-2x+5y+2z=4
--------------------- Add
-4x = 16
--> x = -4 ************
---
-2x + z = 6 Eqn A
--> z = -2 ************
---
-2x+5y+2z=4
--> y = 0 *************
====================
(-4,0,-2)

RELATED QUESTIONS

-4x-5y-z=18 -2x-5y-2z=12... (answered by Fombitz)
Solve the system by elimination 9x+5y-z=-11 (answered by Edwin McCravy)
Solve the system 2x-4y-2z=12 x-y+z=7... (answered by kekegeter )
How do you solve this system using elimination? -2x+5y-3z=7 4x-3y+2z=4... (answered by t0hierry,greenestamps)
please solve the system x-y+2z=7 2x+z=4... (answered by AgusKwan)
solve the system x-y+2z=7 2x+z=4... (answered by Edwin McCravy)
Solve the system by elimination. -x-5y+z=17 -5x-5y+5z=5... (answered by Alan3354)
x+5y+3z=2 2x-3y-z=0 3x+2y+2z=2 Can you help me solve the system of equation by... (answered by richwmiller)
Solve by the addition method 4x+5y+z=7 2x-y+2z=23... (answered by Alan3354)