SOLUTION: hi I'm having a problem solving an augmented matrix if someone could help me that would be great!! The directions are solve the system using an augmented matrix 5x+2y=2 3x-y

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Question 107383: hi I'm having a problem solving an augmented matrix if someone could help me that would be great!!
The directions are solve the system using an augmented matrix
5x+2y=2
3x-y=-12
Thank-you so much for your help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system

5x+2y=2
3x-y=-12


Now write the coefficients and the right side in an augmented matrix:
%28matrix%282%2C3%2C5%2C2%2C2%2C3%2C-1%2C-12%29%29


Multiply Row 1 by 1%2F5 to make the pivot 1:

%28matrix%282%2C3%2C1%2C2%2F5%2C2%2F5%2C3%2C-1%2C-12%29%29

Add -3*Row 1 to Row 2 to get the new Row 2

%28matrix%282%2C3%2C1%2C2%2F5%2C2%2F5%2C0%2C-11%2F5%2C-66%2F5%29%29

Multiply Row 2 by -5%2F11 to make the pivot 1:

%28matrix%282%2C3%2C1%2C2%2F5%2C2%2F5%2C0%2C1%2C6%29%29

Add -2/5*Row 2 to Row 1 to get the new Row 1
%28matrix%282%2C3%2C1%2C0%2C-2%2C0%2C1%2C6%29%29


The matrix is now in reduced row echelon form


So our answer is (-2,6) or x=-2, y=6


If you need more help with row reduction, check out the Linear Algebra Toolkit