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 187298: 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 solver91311(24713) (Show Source): You can put this solution on YOUR website!

One integer: x

Another integer: y

One integer is 6 less than another integer: x = y - 6

And the lesser integer must be x because it is some amount less than the other integer.

The product of the lesser integer and -7: -7x

Is 42 more than the greater integer: -7x = y + 42

Substitute:

The greater integer is 0 and since 6 less than 0 is -6, the lesser integer is -6.

Check: -7 X -6 = 42 which is 42 greater than 0.

John

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