SOLUTION: Can someone please help: Solve the equations: x-2y+z =7 2x-5y+2z =17 -3x+7y+5z =-32 Thanks,

Question 38366: Can someone please help:
Solve the equations:
x-2y+z =7
2x-5y+2z =17
-3x+7y+5z =-32

Thanks,
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
It is a bit difficult to explain the entire procedure, but in essence what you do is to eliminate the same variable from pairs of equations, via the linear combination method. You want to "boil" three equations and three unknowns down to two equations and two unknowns...for example, from
x-2y+z =7
2x-5y+2z =17
-3x+7y+5z =-32
we can double the first equation and subtract it from the second one, eliminating x...repeat that procedure with the first and third equation, etc...
You will find the solution
x = 2, y = -3, and z = -1
RELATED QUESTIONS
Solve this system with three linear equations.... 4x+3y-5z=-29 3x-7y-z=-19... (answered by Fombitz)

Can someone please help with this question: Solve the following system of equations:... (answered by AnlytcPhil)

I need help solving these equations x-2y+3z=7 2x+y+5z=17... (answered by Edwin McCravy)

How do I solve the system of equations? x+2y-6=z 3y-2z=7... (answered by gonzo)

solve the equations -x-3y+z=7,-2x-7y-3z=-9,and 5x+2y-2z=-6 (answered by TimothyLamb)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by Alan3354)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by solver91311)

2x + 3z = 4 3y + 2z = 5 3x + 4y = −16 (x, y, z) = 2x +... (answered by Alan3354)

Solve the following: 3x-5y+2z=19 5x+2y-3z=-8... (answered by rmromero)