SOLUTION: This is a System with 3 variables. On this problem you have to solve the system elimination. Please help if you can. x+y+2z=3 2x+y+3z=7 -x-2y+z+10

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: This is a System with 3 variables. On this problem you have to solve the system elimination. Please help if you can. x+y+2z=3 2x+y+3z=7 -x-2y+z+10       Log On


   

Question 102300This question is from textbook
: This is a System with 3 variables. On this problem you have to solve the system elimination. Please help if you can.

x+y+2z=3
2x+y+3z=7
-x-2y+z+10 This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the +10 in the third equation is =10

A) add the first and third equations to eliminate x ... -y+3z=13

B) add the second and 2 times third to eliminate x ... -3y+5z=27

add -3 times A) to B) to eliminate y ... -4z=-12 ... z=3

-y+3(3)=13 ... -y+9=13 ... y=-4

x+(-4)+2(3)=3 ... x+2=3 ... x=1