open sentences: 5/x - 1= 3/x, 7/2x - 5/3x= 11, etc

aj923

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Jun 20, 2007
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can someone help me with these problems?

5/x - 1= 3/x is the solution to this problem x= 15/8.

7/2x - 5/3x= 11.

2- 4/y= 1+3/y

2k/k-15-3=2.
 
7/2x - 5/3x= 11

simplify the right side by subtracting using a common denominator

\(\displaystyle \L \frac{7(3x)\,-\,5(2x)}{2x\, \cdot \,3x}\)

factor out an x from the numerator:

\(\displaystyle \L \frac{x(7(3)\,-\,5(2))}{2x\, \cdot \,3x}\)

\(\displaystyle \L \frac{x(21\,-\,10)}{2x\, \cdot \,3x}\)

\(\displaystyle \L \frac{x(11)}{2x\, \cdot \,3x}\)

remove an x from the numerator and 1 term from the denominator:

\(\displaystyle \L \frac{(11)}{2x\, \cdot \,3}\)

simplify:

\(\displaystyle \L \frac{11}{6x}\)

Now you have

\(\displaystyle \L \frac{11}{6x} = 11\) Solve for x
 
In the absence of any demonstartion from you, anything we do could not really be called "help". We'd just be doing your homework for you.

So, what are your thoughts? What's your plan of attack?
 
7/2x - 5/3x= 11

Multiply both sides by '6*x'

7*3 - 5*2 = 11*6*x

21 - 10 = 66x

x = 11/66 = 1/6
 
Re: open sentences

aj923 said:
5/x - 1= 3/x is the solution to this problem x= 15/8.

2k/k-15-3=2.
These 2 make no sense.
Re-post them EXACTLY as they appear in your book.

To see where you are, can you solve this:
3x + 2 = 5x - 2
 
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