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Citrus2011 [14]
3 years ago
12

1/5(n+3)=1/4(n+2). what is N=

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

n= 2

Step-by-step explanation:

1/5(n+3)= 1/4(n+2)

First thing to do here is <u>distribute</u> into the parenthesis.

1/5n+3(1/5)= 1/4n+ 2(1/4)

Now, <u>multiply</u> to simplify the equation.

1/5n+ 3/5= 1/4n+ 1/2

Then, <u>subtract</u> 1/2 to both sides.

1/5n+ 3/5= 1/4n+ 1/2

         -1/2            -1/2

1/5n+ 1/10= 1/4n

Now, <u>subtract</u> 1/5 to both sides.

1/5n+ 1/10= 1/4n

-1/5n           -1/5n

1/10= 1/20n

Finally, <u>multiply</u> both sides by the <u>reciprocal</u> of 1/20.

So, multiply by 20/1.

20/1 × 1/10= 20/1× 1/20n

This leaves you with n=2.

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