SOLUTION: "How many ordered pairs of positive integers (x,y) satisfy {{{ 2x+3y= 9 999 999 999 999 }}} " thank you in advance < note: if u gave me the answer in no time, i will absolutely be

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: "How many ordered pairs of positive integers (x,y) satisfy {{{ 2x+3y= 9 999 999 999 999 }}} " thank you in advance < note: if u gave me the answer in no time, i will absolutely be       Log On


   

Question 1077745: "How many ordered pairs of positive integers (x,y) satisfy +2x%2B3y=+9+999+999+999+999+ " thank you in advance < note: if u gave me the answer in no time, i will absolutely be a tutor........
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
+2x%2B3y=+9+999+999+999+999+

Solve for y

3y=+9+999+999+999+999-2x+

y=+3+333+333+333+333+-2x%2F3+

x must be a multiple of 3

Let x = 3n, where n is a positive integer

y=+3+333+333+333+333-2n+

n is largest when y is smallest, so
The smallest y can be is 1, in which case

1=+3+333+333+333+333-2n+

2n+=+3+333+333+333+332

n+=+1666666666666

So n can take on integers from 1 through 1 666 666 666 666
inclusive.

Answer: 1 666 666 666 666 

Edwin

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
The above solution was corrected, in case you saw it before.

Edwin