Math Help - graphing question connected with wolfram alpha

hi, when i'm doing linear equations, i often check them on wolfram alpha. when i enter 2x+3y=6 it shows the line on the graph, solves for y BUT also lists the INTEGER SOLUTION. in this example it's

x=3n , y=-2(n-1)

how are these equations derived? thanks, any help appreciated

Originally Posted by damon

hi, when i'm doing linear equations, i often check them on wolfram alpha. when i enter 2x+3y=6 it shows the line on the graph, solves for y BUT also lists the INTEGER SOLUTION. in this example it's

x=3n , y=-2(n-1)

how are these equations derived? thanks, any help appreciated

Because and are both divisible by so must be. Put for some , then:



which is also in and you are done.

CB