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) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=38%2Cx-y=16%29

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