Here is your question in matrix form

I subtracted the first row to the thrid row, put the result in the thrid row

I multiplied the last row by 2 then added it to the first row, put the result in the last row

I multiplied the thrid row by -4 then added it to the last row, put the result in the last row

I switched the first and second row.

I divided the second row by -2, the thrid row by 2 and the last row by 4

I multiplied the last row by -3/2 and then added it to the thrid row, I put the result in the thrid row

I multiplied the last row by 2 then added it to the second row, I put the result in the second row

I subtracted the second row from the first row and put the result in the first row

Now the matrix is in row echelon form.

We can see that A=3/8, B=-C, D=-3/8 and E =1/4. Note that B can be any number and C is the negative of B.