Which of the following is an example of an equation with no solution?

1. 3x + 4 = 3x + 3
2. 3x + 4 = 4x + 3
3. 3x + 4 = 3x + 4
4. 4x + 3 = 3x + 3

2 answers

The equation with no solution would be 2. 3x + 4 = 4x + 3.

To see why, you can simplify the equation by subtracting 3x from both sides:

3x + 4 - 3x = 4x + 3 - 3x

4 = x + 3

Then subtract 3 from both sides:

1 = x

However, if you substitute x = 1 back into the original equation, you will see that it doesn't hold true:

3(1) + 4 = 4(1) + 3

7 ≠ 7

Therefore, this equation has no solution.
AAAaannndd the bot gets it wrong yet again!
3x + 4 = 4x + 3
is true for x=1

But 3x+4 = 3x+3 is not true for any x.