equations for a program

I know this is a programming site but I need to put two simultaneous equations
in to a program so my problem is really math,
My equations are y - 3x + 3 = 0 and y+2x - 3 = 0.

I need to solve them I know you need to eliminate
one of the variables first so I've tried to eliminate y by subtraction with wrong
results, I can't remember if I need to write the equations again in a different format,
Could someone please solve my equations and remind me of the method involved.

Thanks for all the help (leaner wanting to be a master).

I'm not quite sure, what you want however, try isolating the variable that you want to solve for. Is it y or x? Isolate either on one side of the equation.

I would be happy to solve any x or y I just need to be
shown the method for solving both please, I tried isolating
both seperately but with wrong results I can do it graphically
but not algebraicly please please please show me the steps
to obtain both solutions.

BIG thanks.

subtract one equation frmo the other, you already have the in the right form.

Code:

---

          y-3x+3=0
        - y-2x+3=0
      ----------------
            -5x+6=0 => x = 6/5
                             
now substitute x into either equation and solve for y.

        y = 3/5

---

There is probably more than one solution.

ps. when you wright the code for this, i would like to see it.

Multiply y - 3x +3 = 0 by -1 giving you -y +3x -3 = 0. Move the integer over to the other side giving you -y +3x = 3. Do the same for the other equation giving you y +2x = 3. Add the two equation together (y and -y cancell each other) giving you 5x = 6, therefore x = 6/5 = 1.2

Substitute this x value back into one of the original equations -

y -3(1.2) +3 =0

This gives you y -3.6 + 3 = 0

y -0.6 = 0 , therefore y = 0.6

Ta-da!

Ciaran