Solve Systems of Equations Using Matrices · Example 3

Perform the indicated operations on the augmented matrix:
ⓐ Interchange rows 2 and 3.
ⓑ Multiply row 2 by 5.
ⓒ Multiply row 3 by $-2$ and add to row 1.
$[\begin{array}{rlrlrlrlr}6& & & -5& & & 2& & \\ 2& & & 1& & & -4& & \\ 3& & & -3& & & 1& & \end{array}|\begin{array}{ccc}& & 3\\ & & 5\\ & & -1\end{array}]$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Intermediate Algebra 2e · §4.5 Solve Systems of Equations Using Matrices · Example 3