# How do you get one equation from another?

• Feb 12th 2009, 05:00 PM
Infernorage
How do you get one equation from another?
Here are two equations....
1) $y=1+ \frac{1}{4}(x)$
2) $y=\frac{1}{4}(4+x)$
I know these equations are equal, but I have no idea how you can manipulate the first equation to get the second equation. Can someone please tell me how to do this? Thanks in advance.
• Feb 12th 2009, 06:11 PM
Rapha
Hi.

Quote:

Originally Posted by Infernorage
Here are two equations....
1) $y=1+ \frac{1}{4}(x)$
2) $y=\frac{1}{4}(4+x)$
I know these equations are equal, but I have no idea how you can manipulate the first equation to get the second equation. Can someone please tell me how to do this? Thanks in advance.

It is

$y=1+ \frac{1}{4}(x)= \frac{4}{4}*[1+\frac{1}{4}x]$

$=\frac{1}{4}[4*1+\frac{4*1}{4}x] = \frac{1}{4}*[4+x]$

$= \frac{4+x}{4}$

Do you understand?

Cheers,
Rapha