Solve the system of linear equations using the gauss-jordan elimination method. 5x + 3y = 16 −2x + y = −13 (x, y) =

The solution for this system is .

Step-by-step explanation:

The Gauss-Jordan elimination method is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

We have the following system:

This system has the following augmented matrix.

The first step is dividing the first line by 5. So:

We now have

Now i want to reduce the first row, so I do:

So we have

So we have:

.

Now, to reduce the second row, we do:

And the augmented matrix is:

The solution for this system is .