# Thread: How to simplify this answer?

1. ## How to simplify this answer?

How to simplify this my answer to 2x+2y-13=0

My answer is :-
$\frac{4x-2y-15}{2\sqrt{5}}$= $\frac{2x-y-1}{\sqrt{5}}$

How to simplify my answer to get 2x+2y-13=0

Thank you

2. =

Hmm... It looks like you tried to factor a 2 out of the numerator and then cancel 2 from both the numerator and denominator but..

Factor 2 out of -15 and get... -1?

I'm not sure what your original problem was, but you may want to re-check your arithmetic over all.

3. Can you post the original problem?

01

4. Originally Posted by mj.alawami
How to simplify this my answer to 2x+2y-13=0

My answer is :-
$\frac{4x-2y-15}{2\sqrt{5}}$= $\frac{2x-y-1}{\sqrt{5}}$

How to simplify my answer to get 2x+2y-13=0

Thank you

$\frac{4x-2y-15}{2\sqrt{5}}$= $\frac{2x-y-1}{\sqrt{5}}$

multiplying both sides by $2\sqrt{5}$ Yields

$4x-2y-15=2(2x-y-1)\Longleftrightarrow{4x-2y-15}=4x-2y-2\Longleftrightarrow-15=-2$??

The logic has gone bad.............

It appears that something has gone way way wrong here. The only way to simplify your answer to the given equation would be to develop a new branch of Mathematics

Sorry buddy. but if you post the original problem, I'm here for you.

5. Hello, mj.alawami!

You made an error somewhere.
Your answer is quite impossible.

My answer is: . $\frac{4x-2y-15}{2\sqrt{5}} \:=\: \frac{2x-y-1}{\sqrt{5}}$ . . . . wrong!

How to simplify my answer to get: . $2x+2y-13\:=\:0$

You have: . $\frac{4x-2y - 15}{2\sqrt{5}} \;=\;\frac{2x-y-1}{\sqrt{5}}$

Multiply by $2\sqrt{5}\!:\quad 4x - 2y - 15 \;=\;2(2x-y-1) \quad\Rightarrow\quad 4x - 2y - 15 \:=\:4x - 2y - 2$

. . and we have: . $-15 \:=\:-2 \quad\Rightarrow\quad 0 \:=\:13 \;\;??$

I believe you need to have: . $\frac{4x-2y - 15}{2\sqrt{5}} \;=\;\frac{{\color{red}x - 2y} - 1}{\sqrt{5}}$