Question 1182620
   1)  y = a/(b-x)<pre>
  y(b-x) = a
   by-xy = a
     -xy = -by+a 
      xy = by-a

Let xy = Y and y = X

       Y = bX-a

Let b = m and -a = c

       Y = mX+c</pre>
     2) y(y-a) = x-b<pre>
  Let y(y-a) = Y, X = x

             Y = X-b

Let m = 1 and -b=c
             
             Y = mX+c</pre>   
3)    mx<sup>2</sup> + ny<sup>2</sup> = x<pre>
You already have m in there so it would be confusing to have m represent two
different constants, so let's change the problem with another letter besides
m. I'll use p:

      px<sup>2</sup> + ny<sup>2</sup> = x
        px<sup>2</sup> - x = -ny<sup>2</sup>

Let px<sup>2</sup> - x = Y and let y<sup>2</sup> = X

              Y = -nX 
              Y = -nX + 0

Let -n=m and let c=0

              Y = mX + c

Edwin</pre>