Step 1 :Multiply the second row by 3 to get \([3, 6, -15, -15]\)
Step 2 :Add the result to the first row to get \([0, 0, 0, 0]\)
Step 3 :Multiply the second row by -15 to get \([-15, -30, 75, 75]\)
Step 4 :Add the result to the third row to get \([-23, -28, 66, 82]\)
Step 5 :The matrix after performing the elementary row operations is \[\left[\begin{array}{ccc|c} 0 & 0 & 0 & 0 \\ 1 & 2 & -5 & -5 \\ -23 & -28 & 66 & 82 \end{array}\right]\]