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eight times the sum of a number and six equals to four times the difference when the number is subtracted from 6. find the number.

2006-08-07 08:32:10 · 7 answers · asked by Phoenix 1 in Education & Reference Homework Help

7 answers

It seems like the problem should look like this:

8(n+6)=4(6-n)

Then to solve it: distribute

8n + 48 = 24 - 4n

Now just put the like things on the same side of the equation:

8n + 4n = 24 - 48

Solve:

12n = -24

n = -24/12

n = -2

To check your answer: plug it back into the equation:
8(-2 + 6)=4(6+2)
32=32

2006-08-07 08:41:10 · answer #1 · answered by Joy 1 · 0 0

People already gave you the answer, but here is how you translate:

Eight times the sum of a number and six equals to four times the difference when the number is subtracted from 6.

Eight = 8, times = multiply, sum of = addition, number & 6 = n+6

Equals =

Four = 4, times = multiply, difference = subtract, number is subtracted from 6 = 6 - n


So:

8 * (n + 6) = 4 * (6 - n)

2006-08-07 16:04:59 · answer #2 · answered by Pumpkin 3 · 0 0

n= a number

Now lets translate the sentence into mathmatical equation
8(n+6)= 4(6-n)

8n+48= 24-4n

add 4n on each side

12n+48=24

subtract 48 on both side

12n= -24

divide by 12

n= -2

2006-08-07 15:44:30 · answer #3 · answered by infiniti1113 3 · 0 0

It's -18.
Here :
x will be the missing number so
8(x+6)=4(6-x)
8x+48=-4x+24
8x-4x= 24 -48
4x= -24
x= -24:4
x= -6 :)

2006-08-07 15:54:04 · answer #4 · answered by Maggi 2 · 0 0

I just checked for you and I found wep that you yourself can find. I am sure you new this before you asked the question. I happy to Answer question ,but sometime people want the easy way out, this is why some of us do not get a head in life. Easy way out is not the answer.

2006-08-07 15:43:43 · answer #5 · answered by Anonymous · 0 0

This is how I was taught algebra........
8(x +6)= 4(6-x)
8x +48 = 24- 4x
+4x-24 -24+4x
12x+24= 0
-24 -24
12x = -24
----------------
12
x = -2

The answer is -2.

2006-08-07 17:33:44 · answer #6 · answered by Tennis girl 2 · 0 0

whomever answered n= -2 is correct.

2006-08-07 18:53:21 · answer #7 · answered by Maya F 1 · 0 0

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