SOLUTION: the sum of two numbers,x and y is 140. if x is 34 greater than y,write down two equations in x and y.solve them to find the two numbers?

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Question 762196: the sum of two numbers,x and y is 140. if x is 34 greater than y,write down two equations in x and y.solve them to find the two numbers?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: X+%2B+Y+=+140
Equation 2: X+=+34+%2B+Y
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Plug (34 + Y) into equation 1 for X
Equation 1: X+%2B+Y+=+140
%2834+%2B+Y%29+%2B+Y+=+140
Combine like terms
34+%2B+2Y+=+140
Subtract 34 from both sides.
2Y+=+106
Divide both sides by 2.
highlight%28Y+=+53%29
Now plug 53 into equation 2 for Y.
Equation 2: X+=+34+%2B+Y
X+=+34+%2B+%2853%29
highlight_green%28X+=+87%29