document.write( "Question 214051This question is from textbook Elementary & Intermediate
\n" ); document.write( ": Reconciling remainders. Find a positive integer smaller than 500 that has a remainder of 3 when divided by 5, a remainder of 6 when divided by 9, and a remainder of 8 when divided by 11.
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #161861 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find a positive integer smaller than 500 that has a remainder of 3 when divided by 5,
\n" ); document.write( " a remainder of 6 when divided by 9,
\n" ); document.write( " and a remainder of 8 when divided by 11.
\n" ); document.write( ":
\n" ); document.write( "the positive integer is 393
\n" ); document.write( ":
\n" ); document.write( "The way I did it:
\n" ); document.write( "entered 3 equations into the TI83 and looked for an x value that gives an integer
\n" ); document.write( "value for y in all three equation
\n" ); document.write( ":
\n" ); document.write( "Enter these three equations, check the table
\n" ); document.write( "y1 = \"%28x-3%29%2F5\"
\n" ); document.write( "y2 = \"%28x-6%29%2F9\"
\n" ); document.write( "y3 = \"%28x-8%29%2F11\"
\n" ); document.write( " \n" ); document.write( "
\n" );