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Could you please explaine it...





If 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. Find the number.

2006-06-11 14:23:15 · 14 answers · asked by a100 1 in Science & Mathematics Physics

14 answers

N = the number
N - 2   <<<   2 subtracted from the number
( N - 2 ) x 3   <<<   the difference tripled
N + 6   <<<   6 more than the number

( N - 2 ) x 3 = N + 6
3N - 6 = N + 6
2N = 12
N = 6

2006-06-11 14:26:49 · answer #1 · answered by Anonymous · 6 2

2

2006-06-11 21:27:50 · answer #2 · answered by Anonymous · 0 0

Are you sure you have listed the question correctly?

As listed you're saying:

x-2 = y and
3y = x + 6
this solves to be x= x/3 which when tested is not true.


are you sure you don't mean:
subtract a number FROM 2, triple the answer, the result is equal to the number plus?

If mine is the correct question then here's how you solve it:

2-x = y
3y = x +6

substitute (x-2) for y:
3(2-x) = x +6

multiply out:
6 - 3x = x + 6

move the x's to one side

6 = x + 6 + 3x

simplify:

6 = 6 + 4x

move the numbers to one side

6-6 = 4x

simplify

0 = 4x

x must = 0


test it: remember x = 0

original equations:

2-x = y
3y = x + 6

2-0 = y, y = 2

3y = x + 6 so
3(2) = 0 + 6

6 = 6 which is true

2006-06-11 22:11:00 · answer #3 · answered by messageboardjunkie 3 · 0 0

6

2006-06-11 21:29:38 · answer #4 · answered by smelzmelz 4 · 0 0

Let the number be y.

It is given that ‘2’ is subtracted from that number.

Therefore it is ‘y-2’.

It is given that this difference is tripled.

Therefore it is (y-2) x 3 = 3y - 6.

It is given that the result is 6 more than the number.

Therefore, y + 6 = 3y - 6.

Simplifying the above equation y = 6.

2006-06-11 22:14:39 · answer #5 · answered by Pearlsawme 7 · 0 0

Basically, the answer is 1 2( ) x 3 = 6

2006-06-11 21:28:06 · answer #6 · answered by ride2cowboy 4 · 0 0

(x-2)3=x-6 x=0
(0-2)3=0-6
-6= -6

2006-06-11 21:36:29 · answer #7 · answered by raen444 1 · 0 0

THe answer is 6.

6-2=4

4*3=12

12-6=6

2006-06-11 21:29:18 · answer #8 · answered by sozjoshua 2 · 0 0

n is the original number and x is the new number

n-2=x
3x=n+6

so

3(n-2)=n+6

3n-6=n+6
2n=12
n=6

2006-06-11 21:28:50 · answer #9 · answered by wejut 3 · 0 0

(x-2)3 = x+6
3x-6 = x+6
2x = 12
x =6

2006-06-11 23:13:42 · answer #10 · answered by tadames917 2 · 0 0

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