SOLUTION: find the sum of 31 if one # is 5 less then 2 times the other #

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Question 916605: find the sum of 31 if one # is 5 less then 2 times the other #
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

if one # (x) is 5 less then 2 times the other # (y)
one # is x%2B5=2y ...eq.1
if the sum of 31, then
x%2By=31 ....eq.2
solve this system:
x%2B5=2y ...eq.1
x%2By=31 ....eq.2
________________________
x%2B5=2y ...eq.1...solve for y
y=x%2F2%2B5%2F2 ...plug in eq.2

x%2Bx%2F2%2B5%2F2=31 ....eq.2 ...solve for x
2x%2B2x%2F2%2B2%2A5%2F2=2%2A31
2x%2Bx%2B5=62
3x=62-5
3x=57
highlight%28x=19%29
find y

y=x%2F2%2B5%2F2
y=19%2F2%2B5%2F2
y=24%2F2
highlight%28y=12%29