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set up a system of equations

x+y=45

xy=200

set one equal to a variable

x=-y+45

plug it into the other equation

y(-y+45)=200

distribute the y

-y2+45y=200

set it equal to 0

-y2+45y-200=0

take out the negative

-(y2-45y+200)=0

factors of 200 are 1&200, 2&100, 4&50, 5&40, 10&20

5 and 40 = 45

factor

-(y-5)(y-40)=0

solve for y

y=5,40

this is the proper way to do this or you could just guess and check

hope i helped :)

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12y ago

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