Question

find augmented matrix and reduce it to an echelon matrix and find the solution set for x+y+z=2, x-y-z=0, 2x+y=4

Answer 1

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Answer 2

augmented matrix will look like this:
1 1 1 2
1 -1 -1 0
2 1 0 4

Answer 3

subtract first row from second & double first - from third:
1 1 1 2
0 -2 -2 -2
0 -1 -2 0

right? work it out to echelon matrix, can you?

Answer 4

i got:
1 1 1 2
0 1 1 1
0 0 1 -1

Answer 5

or you can simplify to:
1 0 0 1
0 1 0 2
0 0 1 -1
the lowest row = your value for z=-1
from the second row you'll get: y=2
from the first: x=1

Answer 6

are we good?