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x-7/9x=5/12

x=?

 May 29, 2014

Best Answer 

 #1
avatar+564 
+8

$${\frac{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{7}}\right)}{\left({\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{12}}}}$$

Cross multiply and you will get:

$$12x-84=45x$$

After you get the above just solve for x:

$$-84=33x$$

$$x=-2.5454545454545455$$

So your answer is x=-2.5454545454545455. You can simply that down further to a number like -2.55. 

 May 29, 2014
 #1
avatar+564 
+8
Best Answer

$${\frac{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{7}}\right)}{\left({\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{12}}}}$$

Cross multiply and you will get:

$$12x-84=45x$$

After you get the above just solve for x:

$$-84=33x$$

$$x=-2.5454545454545455$$

So your answer is x=-2.5454545454545455. You can simply that down further to a number like -2.55. 

chilledz3non May 29, 2014
 #2
avatar+129899 
0

Excellent answer, chilledz3non......"thumbs-up" from me...

Note something.....x = -84/33 = -28/11.......we could also leave the answer in this form....some people like the "exact" answer, rather than a repeating decimal....I'm actually indifferent, but I might be in the minority......

 May 29, 2014
 #3
avatar+118687 
0

I definitely prefer exact answers 

But I don't like improper fractions much.  I think that they should be presented as mixed numberals.

If you were able to use the repeating dot notation for a decimal that would also be fine to because that is exact.

 May 30, 2014
 #4
avatar+118687 
+5

A note to anon.

Chris has probably answered the question that you intended to ask BUT

this is the question that you did ask.

x-7/9x=5/12

$$\begin{array}{rll}
x-\frac{7}{9}x&=&\frac{5}{12}\\\\
\frac{2x}{9}&=&\frac{5}{12}\\\\
36\times \frac{2x}{9}&=&36\times \frac{5}{12}\\\\
8x&=&15\\\\
x&=&\frac{15}{8}\\\\
x&=&1\frac{7}{8}\\\\
\end{array}$$

 

The motto of this story is USE BRACKETS

 May 30, 2014

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