Expert: Bobby Soltani - 1/15/2005

Question
solve the following systems of equations
2x = 4y - 5
6y = 3x + 3

Possible answers
1. (x,y) = (0,5/4)
2. (x,y) = (-2,1/4)
3. depedent equations; all solutions that satisfy 2x = 4y - 5
4. no solution  

Answer
Hi Jason,

If you put both of these equations into y = mx+b form, you will see that they are parallel (i.e. have the same slope) and intesect the y axis at different points.  Therefore, they never cross eachother and there is no solution.

Let me know if you have questions.

Bobby