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Ksivusya [100]
3 years ago
15

Solution to 3/x + 2/(x+1) = 3/5x?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

9514 1404 393

Answer:

  x = -6/11

Step-by-step explanation:

We assume you want the solution to ...

  3/x +2/(x+1) = 3/(5x)

Subtracting the term on the right, we get the form f(x) = 0.

  \displaystyle\frac{3}{x}+\frac{2}{x+1}-\frac{3}{5x}=0\\\\\frac{15-3}{5x}+\frac{2}{x+1}=0\\\\\frac{12(x+1)+10x}{5x(x+1)}=0\\\\22x+12=0\quad\text{numerator must be zero}\\\\x+\frac{6}{11}=0\quad\text{divide by 22, simplify}\\\\\boxed{x=-\frac{6}{11}}

_____

If you really intend 3/x +2/(x+1) = (3/5)x as you have written, the solution is 3 irrational values for x. I find a graphing calculator a convenient way to find them.

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3 years ago
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zavuch27 [327]
To solve this problem you must apply the proccedure shown below:

 1. You have the following ratio given in the problem above: 

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 2. You can rewrite that ratio as below:

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 3. Then, to find three equivalent ratios, you only need to multiply the numerator (11) and the denominator (11) by the sam number. Therefore, you have:

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3 years ago
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horsena [70]

Answer:

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Step-by-step explanation:

The basic format of slope intercept form is y=mx+b.

y = any "y" value

m = the slope (or rate of change) of the line

x = any "x" value

b = the y-intercept (or the value of "y" when "x" is equal to 0)


Next, look at the graph to see what you know. You know that "y" and "x" will not have a specific value because they are constantly changing as you move along the line. So, y = y and x = x.

The "m" value can be determined by looking at the points where the line crosses on the graph. The first point you can look at is (0,3) because the x-value is 0 and the y-value is 3. The next point you can use is (1,1) because the x-value is 1 and the y-value is also 1. You would then calculate the slope by using the "rise divided by run" tactic. The line goes down by 2 (so the rise is -2). The line "runs" by 1 (so the run is 1). The rise divided by the run is -2. So m = -2.

The b value can be calculated by looking at what "y" equals when x = 0. When x = 0 on this graph, y = 3. So b = 3.

After filling in all of your known information, you should get y = -2x+3 .


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3 years ago
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Maslowich
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3 years ago
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amid [387]

Answer:

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Step-by-step explanation:

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