# Solve the Equation

• Dec 6th 2011, 07:02 PM
HellBunny
Solve the Equation
Another problem I just crossed. Going to be last for tonight, I need to rest.

$3r-3/r = 7/9$ Okay, he is what I've done.

Divided off the r and got $3-3=7/9$
I multiplied both sides of the equation by the reciprocal $9/7$
Now here's where I'm lost.
• Dec 6th 2011, 07:09 PM
skeeter
Re: Solve the Equation
Quote:

Originally Posted by HellBunny
Another problem I just crossed. Going to be last for tonight, I need to rest.

$3r-3/r = 7/9$ Okay, he is what I've done.

Divided off the r and got $3-3=7/9$ ... huh?
I multiplied both sides of the equation by the reciprocal $9/7$
Now here's where I'm lost.

is the equation

$\frac{3r-3}{r} = \frac{7}{3}$

or

$3r - \frac{3}{r} = \frac{7}{9}$

?
• Dec 6th 2011, 08:34 PM
HellBunny
Re: Solve the Equation
Quote:

Originally Posted by skeeter
is the equation

$\frac{3r-3}{r} = \frac{7}{3}$

or

$3r - \frac{3}{r} = \frac{7}{9}$

?

The first one.
• Dec 6th 2011, 08:36 PM
Prove It
Re: Solve the Equation
Quote:

Originally Posted by HellBunny
The first one.

\displaystyle \begin{align*} \frac{3r - 3}{r} &= \frac{7}{3} \\ 3(3r - 3) &= 7r \end{align*}

Now expand the brackets then collect like terms and solve.
• Dec 6th 2011, 09:01 PM
HellBunny
Re: Solve the Equation
I don't have the slightest clue what happened. Why did you change the problem? I know it's still the same, just been rearranged.
• Dec 6th 2011, 09:10 PM
Prove It
Re: Solve the Equation
Quote:

Originally Posted by HellBunny
I don't have the slightest clue what happened. Why did you change the problem? I know it's still the same, just been rearranged.

Maybe because you need to rearrange it so you can solve it...

I multiplied both sides by 3 to get rid of the fraction on the right, and multiplied both sides by r to get rid of the fraction on the left.
• Dec 7th 2011, 05:26 AM
HellBunny
Re: Solve the Equation
I tried solving it and still hadn't came out with the right answer.
I use distributive property 3(3r-3)=7r ; 9r - 9 = 7r ; 9r = 7r + 9 ; I don't get what's next
• Dec 7th 2011, 05:33 AM
skeeter
Re: Solve the Equation
I made a typo in the previous equation ... the right side should be $\frac{7}{9}$ instead of $\frac{7}{3}$

$\frac{3r-3}{r} = \frac{7}{9}$

cross multiply ...

$9(3r-3) = 7r$

distribute on the left side ...

$27r - 27 = 7r$

add 27 and subtract 7r from both sides ...

$27r - 7r = 27$

combine like terms on the left side ...

$20r = 27$

divide both sides by 20 ...

$r = \frac{27}{20}$

you're done.
• Dec 7th 2011, 07:42 AM
HellBunny
Re: Solve the Equation
I hate how I can look at a problem after its done and say to myself " I knew how to do that! " but couldn't figure out how to do it. Insane. Thanks you guys.