Let 'x' and 'x+1' stand for the two consecutive integers. From the given we can write (assuming that both the numbers are positive):

x+1=2x+7

Using Algebrator to solve for 'x', we get:

x=-6

x+1=-5

This means that we assumed wrong--both numbers are NOT positive. Now we must re-write the first equation as (assuming that both numbers are negative):

x=2(x-1)+7

Using Algebrator to solve for 'x', we get:

x=-5

x-1=-6

Our two numbers are -5 and -6.