SOLUTION: The difference between two integers is 2. One integer is 6 less than twice the other. Find the integers. Define the variables, write a system of linear equations, and solve.

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Question 1079545: The difference between two integers is 2. One integer is 6 less than twice the other. Find the integers. Define the variables, write a system of linear equations, and solve.
Answer by josgarithmetic(39630) About Me  (Show Source):
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The difference between two integers is 2. One integer is 6 less than twice the other. Find the integers. Define the variables, write a system of linear equations, and solve.
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Two integers, x and y
system%28x=2y-6%2Cy-x=2%29

y-%282y-6%29=2
-y%2B6=2
y-6=-2
y=4
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x=2

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Alternate
system%28x=2y-6%2Cx-y=2%29
2y-6-y=2
y-6=2
y=8
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x=2%2A8-6
x=10

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The two integers are 2 and 4
or
8 and 10.