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

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) (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:

Multiply Row 1 by to make the pivot 1:

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

Multiply Row 2 by to make the pivot 1:

Add -2/5*Row 2 to Row 1 to get the new Row 1

The matrix is now in reduced row echelon form

So our answer is (-2,6) or ,

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