This is the question find $x$ of equation:

$$\frac{5x-2}{5} - \frac{2x+3}{2} = 3$$

I tried multiplying this all by 10, the LCM. It ended with:

$x -x=49.$

How do you solve this without cancelling the $x$ out of the equation?

  • 2
    $\begingroup$ Why not cancel? The calculation shows that if $x$ is a solution of the equation, then $0=49$. But $0$ is not $49$, so there cannot be a solution. $\endgroup$ – André Nicolas May 24 '15 at 3:38

There is no solution for the equation, maybe cause the question is wrong. Look that,


is equals




this is absurd.

  • $\begingroup$ The question is designed to test whether the student understands that a contradiction means that there is no solution. $\endgroup$ – N. F. Taussig May 24 '15 at 9:37

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.