6n=2/3(5n-2)
2007-08-05 06:50:26 · 8 answers · asked by Jay 2 in Science & Mathematics ➔ Mathematics
6n = 2/3(5n-2)
3/2(6n)=5n-2
18n/2=5n-2
9n=5n-2
4n=-2
n=-1/2
2007-08-05 06:55:05 · answer #1 · answered by sunsadness 1 · 1⤊ 0⤋
The Answer is n= -1/2
1. 6n = 2/3(5n-2)
2. 6n = (10/3)n - (4/3)
3. 6n - (10/3)n = (-4/3)
4. (18/3)n - (10/3)n = (-4/3)
5. (8/3)n = (-4/3)
6. n = (-4/3)(3/8)
7. n= (-12/24)
8. n = -1/2
In step 6 you divide the two fractions. In other words you flip the second fraction over and multiply.
2007-08-05 14:05:29 · answer #2 · answered by Allie 2 · 0⤊ 0⤋
6n = 2/3 (5n-2) mult bothsided by 3/2
9n = 5n-2 subtract 5n from both sides
4n = -2 divide by 4
n = - 2/4 or - 1/2
2007-08-05 13:58:19 · answer #3 · answered by JimBob 6 · 0⤊ 0⤋
By cross multiplication,
3 (6n) = 2 (5n-2)
18n = 10n - 4
18n - 10n = -4
8n = -4
n = -1/2
2007-08-05 14:06:59 · answer #4 · answered by DeaFMutE 1 · 0⤊ 0⤋
3/2(6n)=3/2(2/3)(5n-2)
9n=5n-2
9n-5n=5n-5n-2
4n=-2
n=-1/2
2007-08-05 13:57:12 · answer #5 · answered by chasrmck 6 · 0⤊ 0⤋
sunsadness had 4n = -2 on next to last step, should have ended with n = -1/2. common student error.
2007-08-05 13:57:08 · answer #6 · answered by Philo 7 · 0⤊ 0⤋
cross multiply..
18n = 10n - 4
transpose..
8n = -4
divide..
n = -1/2
2007-08-05 13:55:49 · answer #7 · answered by math_gives_headache 2 · 0⤊ 0⤋
6n=2/3(5n-2)---------------------*3/2
9n=5n-2
9n-5n=-2
4n=-2
n=-2/4=-1/2
2007-08-05 13:56:44 · answer #8 · answered by Anonymous · 0⤊ 0⤋