SOLUTION: How do I solve the system of equations using the Gauss-Jordan elimination? 3x+5y=7 6x-y=-8

Algebra.Com
Question 175531: How do I solve the system of equations using the Gauss-Jordan elimination?
3x+5y=7
6x-y=-8
Found 2 solutions by stanbon, Mathtut:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve the system of equations using the Gauss-Jordan elimination?
3x+5y=7
6x-y=-8
-------------
Multiply thru the 2nd equation by 5 to get:
30x - 5y = -40
Add that to the 1st equation to solve for "x":
33x = -33
x = -1
-------------
Substitute into 3x+5y=7 to solve for "y":
3*-1 + 5y = 7
5y = 10
y = 2
==================
Cheers,
Stan H.
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!

start with augmented matrix
:
(R1)/3-6R1+R2R2/-11-(5/3)R2+R1
:
answer is


remember that R1 is Row 1
.................R2 is Row 2
:
and when you see something like R1/3 that is all the elements in Row 1 being divided by 3. Maybe you'll see 6R1+R2..thats elements in Row 1 multiplied by 6 and added to elements in Row 2.
RELATED QUESTIONS

use Gauss-Jordan elimination to solve the following system of equations. 3x+5y=7... (answered by zeynep)
please help, if I use the gauss-jordan elimination to solve the equation, how do i find... (answered by jim_thompson5910)
Solve the system of linear equations using the Gauss-Jordan elimination method x-2y=8;... (answered by MathLover1)
Use the Gauss-Jordan elimination method to solve the system of equations: -6x + 6y = -36 (answered by robertb)
Using the Gauss-Jordan elimination method, solve the following linear system. 7x +5y (answered by Edwin McCravy)
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x +... (answered by solver91311)
Q.1 Solve the following question using Gauss Elimination. - 3x + 2y - 6z = 6 5x +... (answered by MathLover1)
Solve the following system of equations using Gaussian elimination (with a matrix) and... (answered by checkley71,richwmiller)