SOLUTION: how can i get resolve this by gaussian elemination with back-substitution or gauss-jordan elimination?
3a+b-c=0
2a+3b-5c=1
a-2b+3c=-4
Algebra.Com
Question 181548: how can i get resolve this by gaussian elemination with back-substitution or gauss-jordan elimination?
3a+b-c=0
2a+3b-5c=1
a-2b+3c=-4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3a +b -c= 0
2a+3b-5c= 1
a-2b+3c= -4
---------------
Rearrange the equations:
a-2b+3c =-4
3a+b-c = 0
2a+3b-5c= 1
---------------
Subtract 3 times the 1st from the 2nd.
Subtract 2times the 1st from the 3rd.
a-2b+3c = -4
0+7b-10c = 12
0+7b-11c = 9
----------------------
Subtract the 2nd from the 3rd.
a-2b+3c = -4
0+7b-10c = 12
0+ 0-1c = -3
-----------------
Solve for c and substitute into 1st and 2nd.
c = 3
---
a-2b+9=-4
0+7b-30=12
---
Solve for b and substitute into 1st
7b = 42
b = 6
----
a-2*6+9 = -4
a - 3 = -4
a = -1
------------------
Ans:
a = -1
b = 6
c = 3
========================
Cheers,
Stan H.
RELATED QUESTIONS
Solve the following system of equations using Gaussian elimination (with a matrix) and... (answered by checkley71,richwmiller)
can you haelp me solve the system of equations. using the Gaussian elimination qith back... (answered by vertciel)
I could definitely use help with the following: Solve the following system of equations... (answered by stanbon)
could someone please help?
I need to solve each system of equations using guassian... (answered by solver91311)
Solve the system of equations to the right using matrices. Use Gaussian elimination with... (answered by JBarnum,richwmiller)
solve the system using matrices. Use Gaussian elimination with back-substitution or... (answered by nabla,richwmiller)
How can I solve this by using Gauss-Jordan elimination?
1 -2 -3 | -2
1 -4 -13| 14... (answered by MathLover1)
Solve the system of equations using matrices. Use Gaussian elimination with... (answered by josgarithmetic,MathTherapy)
The system of linear equations has a unique solution. Find the solution using Gaussian... (answered by AnlytcPhil)