Will N. answered • 05/24/15

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You're actually done with the first part of the problem -- the matrix is in row echelon form and you have done it correctly. The next step is to recognize that this matrix corresponds to the system

x+5y=-6

16y=16

To find y, use the second equation:

16y=16

y=1

Back substituting means substituting this value for y into the first equation and solving for x:

x+5(1)=-6

x=-11

So the solution is x=-11,y=1. I hope this helps.