Given system of equations are

5x - 5y = -5, -2x - 3y = 7

so ,we get the matrices as

A = `[[5, -5], [-2, -3]]`

and

B = `[[-5], [7]]`

the augmented matrix [AB] = `[[5, -5, -5], [-2, -3, 7]]`

on solving the [AB] we get the values of x,y

Step 1. Make the pivot in the 1st column by dividing the 1st row by 5

`[[1, -1, -1], [-2, -3, 7]]`

step 2. Multiply the 1st row by -2

`[[-2, 2, 2], [-2, -3, 7]]`

step 3. Subtract the 1st row from the 2nd row

`[[1, -1, -1], [0, -5, 5]]`

step 4. divide the second row with -5 we get

`[[1, -1, -1], [0, -1, 1]]`

Step 5. subtract the 2 nd row from 1st row we get

`[[1, 0, -2], [0, -1, 1]]`

step 6. multiply the 2 nd row with -1

`[[1, 0, -2], [0, 1, -1]]`

so the vlaues of x,y are **x= -2 , y =-1**