SOLUTION: One integer is 6 less than another integer. The product of the lesser integer and -7 is 42 more than the greater integer. What are the integers?

Question 162685: One integer is 6 less than another integer. The product of the lesser integer and -7 is 42 more than the greater integer. What are the integers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One integer is 6 less than another integer. The product of the lesser integer and -7 is 42 more than the greater integer. What are the integers?
:
I don't think there is a solution to this, but let's proceed like there is:
:
Let x = larger integer
Let y = lesser integer
:
Write an equation for each statement:
"One integer is 6 less than another integer."
y = x - 6
:
" The product of the lesser integer and -7 is 42 more than the greater integer."
y * -7 = 42 + x
we can write it:
-7y = x + 42
:
Substitute (x-6) for y (from the 1st statement)
-7(x-6) = x + 42
-7x + 42 = x + 42
You can see we are in real trouble here
-7x = x; not possible

What are the integers? there aren't any
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