SOLUTION: find the two numbers whose sum is 27, such that five times the smaller number is one less than three times the larger number

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Question 426834: find the two numbers whose sum is 27, such that five times the smaller number is one less than three times the larger number
Answer by eggsarecool(46) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call x the smaller number and y the larger number.
So we have x%2By=27 and 5x=3y-1
Now rearrange the first equation to say y=27-x and substitute into the second equation. 5x=3%2A%2827-x%29-1 -> 5x=81-3x-1 -> 8x=80 -> x=10
Now that we have x plug into 5x=3y-1 to get 5%2A10=3%2Ay-1 50+1=3*y}}}-> 51=3%2Ay -> 17=y
So your ordered pair is (10,17)