need help with grade 12 finite math question

Hello I need help with this finite math problem

3y1 + y2 >_12

y1 + 4y2 >_16

w= 2y1 + y2

y1 >_0 y2 >_0

Find the minimum

we are supposed to use the simplex method which uses matrices.

3 1 12 <---- that is how the problem would be setup in matrice form idk how to make a good looking

1 4 16 one on computer.

2 1 o

3 1 2

1 4 1 <-- that is the transposed version.

12 16 0

3 1 1 0 0 2 <-- that is how i think it would be setup in simplex method form. there would be a line

1 4 0 1 0 1 Separating the bottom row and the row to the far right.

12 16 0 0 1 0

Im not sure what to do next.

btw >_ means equal or greater to