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juin [17]
3 years ago
6

Which of the following are solutions to this equation 3n+4=24-n a) n=1 b) n=3 c) n=5 d) n=7​

Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

The correct option is c) n=5.

Therefore the solution to

3n+4=24-n

is

n=5

Step-by-step explanation:

Given:

3n+4=24-n

To Find;

n = ?

Solution:

3n+4=24-n      ........Given

Add + n to both the side

3n+4+ n=24-n+n\\4n+4=24

Now Subtract 4 on both the side

4n+4-4=24-4\\4n=20

Dividing by 4 on both side

\dfrac{4n}{4}=\dfrac{20}{4}\\\\n=5

Therefore the solution to

3n+4=24-n

is

n=5

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Ganezh [65]

For this case, we have the following equation (according to the comments):

\frac{3}{a+2} - \frac{6a}{a^2-4}  = \frac{1}{a-2}

First, we factor the quadratic expression in the denominator:

\frac{3}{a+2} - \frac{6a}{(a-2)(a+2)}  = \frac{1}{a-2}

Then, we multiply both sides of the equation by (a-2) (a + 2):

\frac{3(a-2)(a+2)}{a+2} - \frac{6a(a-2)(a+2)}{(a-2)(a+2)}  = \frac{(a-2)(a+2)}{a-2}

Later, canceling similar terms we have:

3(a-2) - 6a = a+2

We do distributive property on the left side of the equation:

3a-6-6a=a+2

By grouping variables and constant terms we have:

3a - 6a -a = 2+6

Rewriting we have:

-4a=8

Finally, by clearing "a" we have:

a=-\frac{8}{4} a=-2

Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.

Answer:

the student correct, but the value of a= -2 is an extraneous solution

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4 years ago
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Answer:

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