SOLUTION: I need help solving this word problem using elimination instead of substitution. The sum of two numbers is 38 and their difference is 16. find each number. all I figured out was my

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Question 1007697: I need help solving this word problem using elimination instead of substitution. The sum of two numbers is 38 and their difference is 16. find each number. all I figured out was my two equations. x+y=38 and x-y=16
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!


Add the corresponding members eliminates your y, and solve quickly for x.
Subtract the corresponding members eliminates your x, and solve for y.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
x+y=38
x-y=16
-------
Add and solve for "x"::
2x = 54
x = 27
------
Solve for "y"::
x + y = 38
27 + y = 38
y = 11
------------------
Cheers,
Stan H.
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