What are the number of integer solutions of the equation 7x+3y=123,for x,y greater than zero
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y=(123-7x)/3 =41-(7x/3), now 7 and 3 are relatively prime. therefore x has to be a multiple of 3 such that y is positive.
from trial and error (x,y) =(3,34),(6,27),(9,20),(12,13),(15,6). thus, there are 5 solutions
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