SOLUTION: Solve the system. 3x+2y-z=-8 2x-y+7z=33 2x+2y-3z=-17 x= y= z= *Attempted problem more than once, solution still came out incorrect. Please Help!!!!

Question 186714: Solve the system.
3x+2y-z=-8
2x-y+7z=33
2x+2y-3z=-17
x=
y=
z=
*Attempted problem more than once, solution still came out incorrect. Please Help!!!!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve:
1)
2)
3)
Subtract equation 3) from equation 2).

-()
------------------------
a)
Now multiply equation 1) by 2 and equation 2) by 3.
2()=
3()=
Subtract the 1st equation from the 2nd equation.

-()
-----------------------
b)
Multiply equation a) by 7 and equation b) by 3.
7()=
3()=
Subtract the 2nd equation from the 1st equation.

-()
----------------------
Now substitute this into equation a) and solve for y.
Substitute z = 5.
Subtract 50 from both sides.
Divide both sides by -3.
Finally, substitute y = 0 and z = 5 into equation 1) (or 2 or 3) and solve for x.
Substitute y = 0 and z = 5.
Add 5 to both sides.
Divide both sides by 3.

Now you can check these solutions by substituting x = -1, y = 0, and z = 5 into the three original equations and you'll find that they are correct. I'll leave this as an exercise for you to complete. Good luck!

RELATED QUESTIONS
Solve the system 2x-3y+z=13 x+2y+3z=2 (answered by Edwin McCravy)

Solve the system 2x-3y+z=13 x+2y+3z=2... (answered by MathLover1)

solve the linear system by gaus jordan x+2y+3z=9 2x-y+z=8... (answered by Fombitz)

solve the system x+y+z=-1 x-y+3z=-17 2x+y+z=-2 Solve the system x-y+2z=7... (answered by solver91311)

Solve the system. 2x+2y+3z=10 3x+y-z=0 x+y+2z=6 x= y=... (answered by uday1435)

Solve the system: x - y + 3z = 23/2 3x + 2y + 2z = -6 2x - z =... (answered by ronak_hahs)

Solve the system: {{{3x-y+2z=3}}} {{{2x+3y-z=-3}}} {{{x-2y+3z=2}}} Thanks... (answered by swincher4391)

Solve the system: x + y + z = 3, 2x � y + 3z = 3, x - 2y + 3z =... (answered by Boreal)

Solve each system 4x-y+3z=6 2x+y-z=-8... (answered by ewatrrr,lynnlo)