If -9 is added to a number and the sum is doubled, the result is -8 less than the number. What is the number?
2006-06-19 06:42:05 · 6 answers · asked by Anonymous in Education & Reference ➔ Homework Help
2(x-9)=x-(-8)
2x-x-18=8
x=26
its 26
2006-06-19 06:46:36 · answer #1 · answered by shogunly 5 · 0⤊ 0⤋
Let the required number be x
-9 is added to the number i.e. x + (-9) = x-9
Sum is doubled i.e. 2 *(x-9)
The result is -8 less than the number. This means
2 *(x-9) = x - (-8)
Or, 2 *(x-9) = x +8
Or, 2x – 18 = x +8
Transporting variable terms on left side and constant terms on right side we get
2x-x = 8+18
Or, x = 26
That’s the answer
2006-06-19 14:01:23 · answer #2 · answered by Shweta B 2 · 0⤊ 0⤋
The answer is 10. 10 - 9 is 1 * 2 is 2 2 is 8 less than 10
Unless by "-8 less than" you mean 8 more (you used double negatives there....), then the answer is 26. 26 - 9 is 17 * 2 is 34...34 is 8 more than 26. But I'm guessing you meant the first one.
2006-06-19 13:50:27 · answer #3 · answered by kamma_data03 2 · 0⤊ 0⤋
The equation would look like:
2(X - 9) = X - 8 so
2X - 18 = X - 8 so
X - 18 = -8 so
X = 10
To verify
2(10 - 9) = 10 - 8
2(1) = 2
2 = 2
2006-06-19 13:48:42 · answer #4 · answered by davidmi711 7 · 0⤊ 0⤋
-10. -9 doubled is -18. -8 less than -18 is -10. Do I win a prize?
2006-06-19 13:45:56 · answer #5 · answered by lmnop 6 · 0⤊ 0⤋
10
that was easy!
2(x+ - 9) = x - 8
-18 + 2x = x - 8
+8 +8
---------------------
-10 + 2x = x
- 2x -2x
--------------------------
-10 = -x
* -1 *-1
x = 10
2006-06-19 13:55:46 · answer #6 · answered by asianangel7992 4 · 0⤊ 0⤋