(accidentally posted this in middle school mathematics) i'm having trouble with this problem from my assignment. could anyone show me how to solve this system using an augmented matrix? you ahead of time. : ) -x - 3y = -17 2x - 6y = -26

I don’t know what you mean by augmented matrix but I can answer your question.

We are going to use elimination method as it is simpler.

We add both equations to each other. This gives us x - 9y = -43
We move - 9y to the other side of the equation to isolate x. X=-43+9Y
Now we use this value and put it in an equation. -(-43 + 9y) - 3y = -17.
43 -12y = -17
-12y = -17-43.
-12y=-60
Y = 5
X=-43+9(5)
X=2

Check
-2 - 3(5) = -17
2(2)-6(5) = -26

It is correct.
Message me if you don’t understand :)