SOLUTION: The soultion to the system of equations below is: x+2y-z=-3, 2x-y+3z=14, x+4y-2z=8
Algebra.Com
Question 92859This question is from textbook Finite Mathematics
: The soultion to the system of equations below is: x+2y-z=-3, 2x-y+3z=14, x+4y-2z=8
This question is from textbook Finite Mathematics
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The soultion to the system of equations below is:
Eq1: x + 2y - z =-3,
Eq2:2x - y + 3z =14,
Eq3: x +4y - 2z = 8
:
Multiply eq1 by -2 and add to eq3
-2x - 4y + 2z = 6
x + 4y - 2z = 8
-------------------adding eliminates y & z
-x +0y + 0z = 14
x = -14
:
Add all three equations, eliminates z
x + 2y - z =-3,
2x - y + 3z =14,
x +4y - 2z = 8
--------------------
4x + 5y + 0z = 19
4x + 5y = 19
:
x = -14, substitute -14 for x in the above and find
4(-14) + 5y = 19
-56 = 5y = 19
5y = 19 + 56
5y = 75
y = 75/5
y = +15
:
I'll let you find z; check solutions in one of the original equations
RELATED QUESTIONS
What is the solution to the system of equations below?
X + 2Y - Z = -3
2X - Y + 3Z =... (answered by Flake)
additional assistance requested in understanding how to get a solution
solve the... (answered by richwmiller)
Solve the system of equations?
4x-4y-z=38
x+4y-3z=6
-3x+2y-z=-14
x=?
y=?... (answered by ankor@dixie-net.com)
Solve the following systems of equations using the augmented matrix.
3. x-y+3z=-1 (answered by venugopalramana)
Use Gaussian elimination to solve the system
x+2y-3z=-7
2x-3y+z=14... (answered by MathLover1)
can someone please show me how to do this problem:
Use the Gauss-Jordan method to... (answered by stanbon)
Here is one that I am having some problems figuring out how to solve. It is one of the... (answered by PS)
Find the solution to the system of equations:
(x - 2y + z = -3
|y + 2z = -5
|x + y + (answered by greenestamps,MathLover1,MathTherapy)
x+4y-z=7
x+y+z=2
-2x-2y+2z=-8
convert the system of equations into a matrix... (answered by Edwin McCravy)