Question 41177: use Gauss-Jordan elimination to solve the following system of equations.
3x+5y=7
6x-y=-8 Answer by zeynep(43) (Show Source):
You can put this solution on YOUR website! 3x+5y=7
6x-y=-8
Let's multiply the second equation by 5 to create opposite coefficients for y.
3x+5y=7
30x-5y=-40
Now, let''s add the two equations to drop out y.
33x=-33y (divide each side by 33)
33x/33=-33/33
x=-1
Let's plug the value of x in the first equation (you may plug it in the second equation as well);
3.(-1)+5y=7
-3+5y=7 (move -3 to the right of the equation)
5y=7+3
5y=10 (divide each side by 5)
5y/5=10/5
y=2
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