SOLUTION: Our 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 633493: Our 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?
Found 2 solutions by MathLover1, ankor@dixie-net.com:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
remember: An integer is a whole number (not a fraction) that can be positive, negative, or zero.

let�s integers be and ......the lesser integer, our integer is
and the greater integer is
given:
............1
if the product of the lesser integer and is more
than the greater integer , than we have
........2
solve this system
............1....substitute in 2
........2
-----------------------------------
........2.....solve for

now, find
............1..plug in

so, the integers are: and
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = our integer
then
(x+6) = another integer
:
Write an equation for the statement:
:
" The product of the lesser integer and -7 is 42 more than the greater integer"
-7x = (x+6) + 42
-7x - x = 48
-8x = 48
x =
x = -6 is the lesser integer
then
-6 + 6 = 0 is greater integer
:
Check solution in the given statement:
-7(-6) = 0 + 42

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