SOLUTION: The sum of two integers is 50. The larger is 2 more than three times the smaller. Write a system of equations to model this and then solve for the integers

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Question 956658: The sum of two integers is 50. The larger is 2 more than three times the smaller. Write a system of equations to model this and then solve for the integers
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two integers is 50. The larger is 2 more than three times the smaller. Write a system of equations to model this and then solve for the integers.
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Equations:
x + y = 50
x = 3y + 2
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Substitute for "x" and solve for "y"::
3y+2 + y = 50
4y = 48
y = 12
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x = 50-y = 50-12 = 38
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Cheers,
Stan H.
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