Answer:
The largest integer is y= -5 and the smaller is x=-6
Step-by-step explanation:
Define your variables as:
y: Larger integer
x: Smaller integer
Following the first part of the problem:
y=2x +7 (1)
As the two numbers are consecutive the difference between the large number and the smallest is 1 independetly if they are positive or negative integers so:
y-x = 1 (2)
Simplifying y in (2)
y= 1+x (3)
(3) in (1)
1+x=2x+7
-7+1 = 2x-x
x= -6 (4)
(4) in (3)
y= -6 + 1
y=-5
So the large integer y is -5 and the smaller x is -6
