Given system of equations are ,

x - 3y = 5, -2x + 6y = -10

so the matrix A,B are as follows,

A = 1 -3

-2 6

and B = 5

-10

so the augmented matrix is

[AB] = 1 -3 5

-2 6 -10

step 1 . Divide the 2nd row with -2 we get

1 -3 5

1 -3 5

Both the rows are same

step 2. subtract the the 1st row from second row and restore the 2nd row

1 -3 5

0 0 0

so , now we can say that the value of "y" is any vaule and the value of "x" is dependent on "y".

i.e x = 5+3y

And so x,y are having **INFINITE number of solution** sets to satisfy the system of equations given.