SOLUTION: I want to know how to solve the following system using process of elimination please: 2y + 4z = 2 x + y + 2z = -2 2x + y + z = 2 Steps on how to solve this would be wonde

Algebra.Com
Question 564133: I want to know how to solve the following system using process of elimination please:
2y + 4z = 2
x + y + 2z = -2
2x + y + z = 2

Steps on how to solve this would be wonderful!!

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
2y + 4z = 2
2y=2-4z
y=1-2z

x + y + 2z = -2
substitute y in the equation
x+1-2z+2z=-2
x+1=-2
x=-3

2x + y + z = 2
substitute x & z in the equation
-6+1-2z+z=2
-5-z=2
z=-7
substitute x & z in the equation
x + y + 2z = -2
-3+y+2*-7=-2
-3+y-14=-2
y=15

CHECK
x + y + 2z = -2
-3+15+(-14)=-2


RELATED QUESTIONS

Solve the following system equation using inverse matrix. x + y + z = 2 3x + 2y – 2z... (answered by Edwin McCravy)
how do i solve the following 4 x 4 system using elimination & substitution? w + 2x +... (answered by Fombitz)
Solve the system using elimination. 2x + y = 6 -x - 2y + 8z = 2 -y + 4z = 3 (answered by Edwin McCravy)
Solve the following system of equations using Gauss-Jordan elimination. Show all your... (answered by Edwin McCravy)
Q.1 Solve the following question using Gauss Elimination. - 3x + 2y - 6z = 6 5x +... (answered by MathLover1)
Find all solutions of the system x+y+z+w=4 x-2y-z-w=3 2x-y+z-w=2 x-y+2z-2w=-7 I... (answered by richwmiller)
I have the equations 3x+ y+2z=6 x+ y+4z=3 2x+3y+2z=2 I'm supposed to solve using... (answered by funmath)
2) Solve the following linear system using matrices: 2x-y+3z=-4... (answered by Fombitz)
use the Gauss-Jordan elimination to solve the following system of equations. x+y+z=2... (answered by zeynep)