SOLUTION: doing equations with 3 unknowns having a hard time with this any help would be appreciated 3x+3y=3 -3x-2z=-11 y+z=-1

Question 972676: doing equations with 3 unknowns having a hard time with this any help would be appreciated
3x+3y=3
-3x-2z=-11
y+z=-1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
(eq1) 3x+3y=3
(eq2)-3x-2z=-11
(eq3)y+z=-1
***
3x+3y=3 (eq1)
-3x-2z=-11(eq2)
add:
3y-2z=-8 (eq4)
..
y+z=-1 (eq3)
2y+2z=-2 (mult. eq by 2)
3y-2z=-8 (eq4)
add:
5y=-10
y=-2
z=-1-y=-1+2=1
3x=3-3y=3-3(-2)=9
x=3
Check:
***
3x+3y=3 (eq1)
-3x-2z=-11(eq2)
add:
3y-2z=-8 (eq4)
..
y+z=-1 (eq3)
2y+2z=-2 (mult. eq by 2)
3y-2z=-8 (eq4)
add:
5y=-10
y=-2
z=-1-y=-1+2=1
3x=3-3y=3-3(-2)=9
x=3
y=-2
z=1
Check:
3x+3y=3*3+3*-2=9-6=3
-3x-2z=-3*3-2*1=-9-2=-11
y+z=-2+1=-1
check ok:
RELATED QUESTIONS
Having hard time understanding the process used to solve this problem. I dont have any... (answered by smik)

I am really having a hard time with these 2 problems: Please help me!! :) --Solve any... (answered by Edwin McCravy)

Is there an easy way to solve systems with 3 variables? I'm having a hard time... (answered by longjonsilver)

Help.... I am having a real hard time with this one. Any help would be greatly... (answered by sarahschober)

I am having a hard time figuring out whether to add or subtract this system of equations... (answered by stanbon)

3x+3y=3 -3x-2z=-11 Y+z=-1 (answered by Alan3354)

I am having a very hard time understanding this and I have to take my final on june 17th... (answered by mananth)

I am having a hard time with this problem: 4 1/8 - 1 3/4 If you could help, that would... (answered by ivy12003)

I need help solving a system of 4 equations with 4 unknowns (finding where they all... (answered by fractalier)