SOLUTION: Convert each of these linear equations into the form Y = mX + c,where a and b are constants. State clearly what the variables X and Y and the constants m and c represent. 1) y

Algebra ->  Test -> SOLUTION: Convert each of these linear equations into the form Y = mX + c,where a and b are constants. State clearly what the variables X and Y and the constants m and c represent. 1) y       Log On


   

Question 1182620: Convert each of these linear equations into the form Y = mX + c,where a and b are constants. State clearly what the variables X and Y and the constants m and c represent.
1) y = a/b-x
2) y(y-a) = x - b
3) mx^2 + ny^2 = x
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
1) y = a/(b-x)
  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

2) y(y-a) = x-b
  Let y(y-a) = Y, X = x

             Y = X-b

Let m = 1 and -b=c
             
             Y = mX+c

3) mx2 + ny2 = x
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:

      px2 + ny2 = x
        px2 - x = -ny2

Let px2 - x = Y and let y2 = X

              Y = -nX 
              Y = -nX + 0

Let -n=m and let c=0

              Y = mX + c

Edwin

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.


In part  (2),  equation  is not linear.

In part  (3),  equation  is not linear.


The post uses  INCORRECT  terminology and,  THEREFORE,  IS  NONSENSICAL  in parts  (2)  and  (3).