Five times the larger number is 11 more than three time the smaller number. Also three times the smaller is 16 less four times the larger number. WHat are the Numbers?

Let the larger number be w and the smaller number be k;

5w-11=3k

3k+16=4w

Reorganizing the equations;

5w-3k=11

4w-3k=16

Subtracting equation 2 from equation 1:

w=-5

Replacing value of w in equation 1;

5 (-5) - 11=3k

-25-11=3k

3k=-36

k=-12

The numbers are - 5 and - 12