SOLUTION: I have x $5 note and y$10 there are eight notes altogether and their total value is $55.how many of each note do I have?

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Question 704825: I have x $5 note and y$10 there are eight notes altogether and their total value is $55.how many of each note do I have?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: X+%2B+Y+=+8
Equation 2: 5X+%2B+10Y+=+55
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Solve equation 1 for one of the variables
Equation 1: X+%2B+Y+=+8
X+=+8+-+Y
Now plug (8 - Y) into equation 2 for X
Equation 2: 5X+%2B+10Y+=+55
5%2A%288+-+Y%29+%2B+10Y+=+55
Multiply the 5 through
40+-+5Y+%2B+10Y+=+55
Combine like terms
40+%2B+5Y+=+55
Subtract 40 from both sides
5Y+=+15
Divide both sides by 5
highlight%28Y+=+3%29
Now solve for X by using Y=3
X+=+8+-+Y
X+=+8+-+%283%29
highlight_green%28X+=+5%29