I am not sure what i am doing wrong in this question

Q. find a 2x2 matrix such that

|7 -4| |x y| |1 0|

|3 -1| * |z w|= |0 1|

I set it up like this

7x-4z=1

7y-4w=0

3x-1z=0

3y-1w=1

but whenever i solve for x and y i get an incorrect answer, not sure what i am doing wrong