Question

I almost thought that this had no solutions, but I'm not sure, could anyone help me on this? I would deeply appreciate it!

Consider the equation 2x = 3x. Does this equation have one solution, no solution, or infinite solutions? Explain your reasoning

Answer 1

One solution

Explanation:

It appears this problem has no solution, buttt let's look closer.

2x and 3x are like terms, meaning they can be added and subtracted because they both have x!

So let's combine these like terms and see what we get...

2x = 3x

0 = 3x -2x

0 = 1x

x = 0 / 1

x = 0

The only solution is 0! No other number is possible.

Answer 2

one solution because when you isolate the x terms:

2x-3x=0 and you combine like terms

-x=0

and divide by negitive one because -x is (-1)(x)

you get x=0

Explanation: