SOLUTION: How to Solve the System by Elimination? -2x + 2y + 3z = 0 -2x - y + z = - 3 2x + 3y + 3z = 5 Please show me how to solve this step-by-step because I've been stuck on this

Algebra ->  Finance -> SOLUTION: How to Solve the System by Elimination? -2x + 2y + 3z = 0 -2x - y + z = - 3 2x + 3y + 3z = 5 Please show me how to solve this step-by-step because I've been stuck on this       Log On


   

Question 1101284: How to Solve the System by Elimination?
-2x + 2y + 3z = 0
-2x - y + z = - 3
2x + 3y + 3z = 5
Please show me how to solve this step-by-step because I've been stuck on this problem for almost an hour. Thank you!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Add eq. 1 to eq. 3 to eliminate x,
-2x%2B2y%2B3z%2B2x%2B3y%2B3z=0%2B5
4)5y%2B6z=5
Add eq. 2 to eq. 3 to eliminate x,
-2x+-+y+%2B+z+2x%2B3y%2B3z=-3%2B5
2y%2B4z=2
5)y%2B2z=1
Multiply eq. 5 by 5 and subtract from eq. 4 to eliminate y.
5y%2B6z-5y-10z=5-5
-4z=0
z=0
So now work backwards to find z.
y%2B2%280%29=1
Solve for y.
Then use any one of the three original equations to solve for x.