SOLUTION: If z and y are negative integers and x - y = 1, what is the least possible value for xy?

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Question 937862: If z and y are negative integers and x - y = 1, what is the least possible value for xy?
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x - y = 1
y <= -1
z <= -1
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put the system of linear equations into standard form
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x - y = 1
y = -1
z = -1
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 0
y = -1
z = -1
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answer:
xy = 0 * (-1) = 0
notice that the value of z is irrelevant to this problem
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check:
y = -2
x - y = 1
x = 1 + y
x = 1 - 2
x = -1
xy = (-1)(-2)
xy = 3
so the answer above is correct
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