SOLUTION: 2x-3y+z=2 x+3y+2z=2 3x-y-3z=3

Algebra.Com
Question 887410: 2x-3y+z=2
x+3y+2z=2
3x-y-3z=3

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2x-3y+z=2 Eqn 1
x+3y+2z=2 Eqn 2
3x-y-3z=3 Eqn 3
-------------------
2x-3y+z=2 Eqn 1
x+3y+2z=2 Eqn 2
----------------------- Add
3x + 3z = 4 Eqn A
=====================
x+3y+2z=2 Eqn 2
9x-3y-9z=9 Eqn 3 times 3
----------------------------- Add
10x - 7z = 11 Eqn B
30x - 21z = 33 Eqn B times 3
21x + 21z = 28 Eqn A times 7
--------------------------------- Add
51x = 61
x = 61/51
==============
Sub for x in Eqn A or B to find z
Sub for x and z in any eqn to find y

RELATED QUESTIONS

Solve the system: {{{3x-y+2z=3}}} {{{2x+3y-z=-3}}} {{{x-2y+3z=2}}} Thanks... (answered by swincher4391)
x+y=z then x+y-z=0 2(x+y)=2(z) 3(x+y)=3(z) 2x+2y=2z 3x+3y=3z 2x+2y-2z=0 (answered by ichudov)
Linear Systems 2x+3y-z=1 x-y-z=2... (answered by AnlytcPhil)
2x+3y+z -3x-2z-7 ( -Z'3-2z+z (-Z 3 is third power))-2z+z __xy-3z_____________ (answered by midwood_trail)
2x-3y+4z=1 x+3y-2z=4 3x-y+z=2 So far i have tried this.. 2x-3y+4z=-1 x+3y-2x=4... (answered by Fombitz,earmstrong620)
Solve System of Equation using Matrix notation (Eq.1) 2x-y+3z = 4 (Eq.2) 3x+2y+z... (answered by jim_thompson5910)
Solve the following system of equations using cramer`s rule 2x + y - z= 5 3x - 2y +... (answered by Edwin McCravy)
3x+5y-Z=-3, 2x+y-3z=-9, x+3y+2z=7 to where x,y... (answered by Fombitz)
2x +y - z=4,3x +5y +z=16,x-2y-5z=3. x+2y+z=4,x+3y-2z=2 , 3x +y+2z =6 c (answered by Alan3354)