SOLUTION: 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

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Question 214051This question is from textbook Elementary & Intermediate
: 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.
 This question is from textbook Elementary & Intermediate

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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,
a remainder of 6 when divided by 9,
and a remainder of 8 when divided by 11.
:
the positive integer is 393
:
The way I did it:
entered 3 equations into the TI83 and looked for an x value that gives an integer
value for y in all three equation
:
Enter these three equations, check the table
y1 = %28x-3%29%2F5
y2 = %28x-6%29%2F9
y3 = %28x-8%29%2F11