106k views
4 votes
DECIDE !!!!!!!!!!!!!!!!!!!!!!

DECIDE !!!!!!!!!!!!!!!!!!!!!!-example-1

1 Answer

5 votes

Answer:

Explanation:


2020x-215y=10000\\\\y=(2020x-10000)/(215) =(404x-2000)/(43) =9x-46+(17x-22)/(43) \\\\\\17x-22\ must\ be\ divisible\ by\ 43\\\\\Longrightarrow\ x=19+43*k[ method \ of\ Gauss\ or\ theorem\ of\ Bezout)\\\\\\min(x+y)=min(10*(19+43*k)-46+(17(19+43k)-22)/(43) )\\=min(151+447k)\\\\is\ min\ if\ k=0\\\\x=19\\y=9*19-46+(17*19-22)/(43) =171-46+7=132\\\\x+y=151\\

User Jay Dub
by
7.5k points