SOLUTION: x-2y+3z=6 2x-y-z=-3 x+y+z=6

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Question 73815This question is from textbook glencoe algebra 2
: x-2y+3z=6
2x-y-z=-3
x+y+z=6 This question is from textbook glencoe algebra 2

Answer by tazoftroy(22) About Me  (Show Source):
You can put this solution on YOUR website!
First, add the last two equations to eliminate both the y and the z. You get 3x=3, which makes x=1
Then, add the first and last equation. You get -3y%2B2z=0
Now, we need to eliminate the x from one other equation so plug x into the last equation to get y%2Bz=5
Now multiply this by 2 in order to eliminate the z. -3y%2B2z=0%3Cbr%3E2t%2B2z=10
Subtract the two to get y=2
Now just plug x and y in one of the equations to get z=3