>>See this: http://answers.yahoo.com/question/index?qid=20060911120122AABNVGI
>>
>>I've been playing with it, and I'm not sure how they got this.
>>
>>
>>
>>>>Solve for x. Show your work and check your answer:
>>>>
>>>>2x +3y = 6
>>>
>>>You forgot a second equation.
>>>
>>>Otherwise x & y can be anything.
>
>
>x = 0
>y = 2
>
>2x0 = 0 + 3*2 = 6

Plus an endless number of other solutions - just put any number for y and solve for x. Actually, there's as many solutions for this as there are real numbers - that's c-infinity, larger than aleph-zero which is the smallest infinite number, or the number of (positive) integers.

The text of the exercise said "solve for x" which means "transform into a x=< expression >" using the legal algebraic transformations. "Legal" here means "operations which transform an equation into another equation with the same set of solutions".

I'm amazed/amused that we're having this discussion at all. That's elementary school algebra.