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 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) (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
RELATED QUESTIONS
one integer is 6 less than another integer. the product of the lesser integer and -7 is... (answered by ankor@dixie-net.com)

One integer is 6 less than another integer. The product of the lesser integer and -7 is... (answered by ankor@dixie-net.com)

one integer is 6 less than another integer. the product of the lesser integer and -7 is... (answered by solver91311)

one integer is 6 less than another integer. the product of the lesser integer and -7 is... (answered by TimothyLamb)

One integer is 6 less than another integer. The product of the lesser Integer and -7 is (answered by mathdad1965)

one integer is 6 less than another integer. the product of the lesser integer and -7 is... (answered by CubeyThePenguin)

Our integer is 6 less than another integer. The product of the lesser integer and -7 is... (answered by MathLover1,ankor@dixie-net.com)

One integer is 8 less than another integer. The product of the lesser integer and -5 is... (answered by CubeyThePenguin)

One integer is two more than another. The sum of the lesser integer and twice the greater (answered by MathLover1)