How do I plot 10x + y = c for integers only? nt

[Howard]

TIA

 

[hypn0tik]

Plot how? On a calculator? By hand?

What's TIA?

 

[Zysoclaplem]

Originally posted by: hypn0tik
Plot how? On a calculator? By hand?

What's TIA?

Probably means Thanks In Advance.

 

[Howard]

Originally posted by: hypn0tik
Plot how? On a calculator? By hand?

What's TIA?

The fastest way, I guess.

I'm trying to figure out how:

pick a number from 1 to 10
multiply by 2
add 5
multiply by 5
pick another number from 1 to 10
add to previous total

You can find out what the numbers are... but I can't figure it out yet.

 

[esun]

It is the set of all lines with slope minus 10 passing through point c at x = 0 (on the y-axis). As long as you constrain c to an integer, you have your result. It's an infinitely large set of solutions, though.

 

[Cooler]

sove for y and then plot it use c as 0 to start then 1, 2 ect.

 

[Howard]

Originally posted by: esun
It is the set of all lines with slope minus 10 passing through point c at x = 0 (on the y-axis). As long as you constrain c to an integer, you have your result. It's an infinitely large set of solutions, though.

How is it that my friend knew what numbers I picked?

 

[mfs378]

Basically there is a 1-to-1 mapping between (x,y) pairs and the result of the operation. A simpler example of the same thing would be to take x and multiply by 1000 and then add y.

example:
x = 4
y = 7

x*1000+y = 4007

So the result is 4007. Now it is pretty obvious that the numbers were 4 and 7 given the result. Your example is just a little bit more complicated to work through.

 

[Howard]

Originally posted by: mfs378
Basically there is a 1-to-1 mapping between (x,y) pairs and the result of the operation. A simpler example of the same thing would be to take x and multiply by 1000 and then add y.

example:
x = 4
y = 7

x*1000+y = 4007

So the result is 4007. Now it is pretty obvious that the numbers were 4 and 7 given the result. Your example is just a little bit more complicated to work through.

oops

 

[chuckywang]

Make sure (c-y)/10 is an integer, ie choose only the integers y such that y=c (mod 10).

 

[Howard]

Yeah... I'm a retard.

 

[mercanucaribe]

y = c - 10x

 

[Howard]

Originally posted by: mercanucaribe
y = c - 10x

I didn't need help rearranging the equation.