Help with this Matrix equation please

solve the matrix equation: |4 -5\1 2| |m\n| = |32\-5|

I really need help with this equation, step by step answers would greatly help. Thanks.

[4 -5 | m] = [32]
[1 2 | n ] = [-5 ]

[4 -5 | 32]
[1 2 | -5 ]

4R₂-R₁ → R₂
[4 -5 | 32 ]
[0 13 | -52]

1/13R₂ → R₂
[4 -5 | 32]
[0 1 | -4 ]

R₁+5R₂ → R₁
[4 0 | 12]
[0 1 | -4 ]

¼R₁ → R₁
[1 0 | 3]
[0 1 | -4]

∴ m = 3, n = -4

Solutions: m = 3, n = -4