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
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