# Math Help - Equation Check

1. ## Equation Check

Check: x=20
$\frac{5}{16}=\frac{1}{4}$

I think i might have done the check wrong. Since 20 is a solution to this equation. Help please. Thanks.

2. ## Re: Equation Check

Originally Posted by theloser

Check: x=20
$\frac{5}{16}=\frac{1}{4}$

I think i might have done the check wrong. Since 20 is a solution to this equation. Help please. Thanks.
Hi theloser,

You have simplified the right hand side incorrectly. Please check again. I am sure you will be able to catch your mistake.

4. ## Re: Equation Check

Originally Posted by theloser
(x + 5) / 4x

plug in x = 20 you get

(20 + 5) / 4*20

Order of operations, so parantheses first

25 / 4 * 20

Finish the denominator to get
25 / 80

Which simplifies to 0.3125 which equals 5 / 16!

5. ## Re: Equation Check

-1 is another solution to this equation

$\dfrac{5}{-1-4} = \dfrac{-1+5}{4 \cdot -1} \Leftrightarrow \dfrac{5}{-5} = \dfrac{4}{-4} \Leftrightarrow -1 = -1$