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?

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Question 265508: 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) About Me  (Show Source):
You can put this solution on YOUR website!
One integer is 6 less than another integer.
x = y - 6
:
The product of the lesser integer and -7 is 42 more than the greater integer.
-7x = y + 42
:
What are the integers?
:
Replace x with (y-6) in the above equation
-7(y-6) = y + 42
-7y + 42 = y + 42
42 - 42 = y + 7y
0 = 8y
y = 0
then
x = 0 - 6
x = -6
:
The two integers: -6, 0
;
:
Check solution in equation -7x = y + 42
-7(-6) = 0 + 42
+42 = 42; confirms our solutions