Answer
$2x + z = 1$
$3z = -3$
Work Step by Step
To eliminate the y-term from the third equation, there are two steps:
1. Double the first equation, triple the third equation, then add them
2. Double the second equation and subtract the third equation from its result.
Given:
$x - 3y + 2z = -1$
$y + z = -1$
$2y - z = 1$
1.
$2x - 6y + 4z = -2$
+($6y - 3z = 3$)
$2x + z = 1$
2.
$2y + 2z = -2$
-($2y - z = 1$)
$3z = -3$
New system:
$2x + z = 1$
$3z = -3$
