Answer:
The first integer is
.
The second integer is
.
Step-by-step explanation:
The five-step method is GUESS method.
Given:
6 times the sum of 2 consecutive integers is 13 less than five times the larger integer.
Unknown:
Value of first and second integer.
Let the first integer be
.
Therefore, the second integer is equal to
which is also the larger integer.
Evaluate:
6 times the sum of first and second integers is 13 less than five times the larger integer. So,

Substitute and Solve:
Now, we have,
.
Substitute -2 for
and solve for first and second integers. This gives,
The first integer value = 
The second integer value = 
Therefore, the first integer is
and the second integer is
.