Answer
$y - 5z = -14$
$27y + 11z = 60$
Work Step by Step
To eliminate the x-term from the second equation, there are two steps:
1. Double the first equation and add it to the second equation.
2. Multiple the third equation 10 fold and add it to the second equation
Given:
$-5x + 2y - 3z = 3$
$10x - 3y + z = -20$
$-x + 3y + z = 8$
1.
$-10x + 4y - 6z = 6$
$10x - 3y + z = -20$
$y - 5z = -14$
2.
$10x - 3y + z = -20$
$-10x + 30y + 10z = 80$
$27y + 11z = 60$
New system:
$y - 5z = -14$
$27y + 11z = 60$