3/4k + 1 = 3/8 - 2k
8/5y - 2/3y = 23 - 1/15y
2007-08-11 10:33:56 · 7 answers · asked by littlekiya 2 in Education & Reference ➔ Homework Help
3/4k + 1 = 3/8 - 2k
3/4k + 1 + 2k = 3/8 - 2k + 2k (add 2k to both sides)
3/4k + 1 + 2k -1 = 3/8 -1 (subtract 1 from both sides)
3/4k + 2k = 3/8 - 1 (now have like terms on both sides)
3/4k + 8/4k = 3/8 - 8/8 (establish common denominator on both sides of the equation--- [2k = 8/4k] and [1=8/8])
(3+8)4k = (3-8)/8 (add numerators on both sides)
11/4k = -5/8 (finish simplifying)
11/4k * 4/1 = -5/8 * 4/1 (multiply both sides by 4 [ 4/1 = 4])
44/4k = -20/8 (after multiplication)
11k = -20/8 (simplify)
k = (-20/8)/11 (divide both sides by 11)
k = -20/88 (simplify)
k = -5/22 (reduce fraction to get final answer)
8/5y - 2/3y = 23 - 1/15y
8/5y – 2/3y + 1/15y = 23 - 1/15y + 1/15y (add 1/15y to both sides to combine like terms)
8/5y - 2/3y + 1/15y = 23 (after completing above step)
24/15y – 10/15y + 1/15y = 23 (establish common denominator -- [8/5 = 24/15] and [10/15=2/3])
(24-10+1)/15y = 23 (combine numerators)
15/15y = 23 (simplify)
Y=23 (final answer)
2007-08-11 11:06:52 · answer #1 · answered by Ironman 2 · 0⤊ 0⤋
PROBLEM (1)
3/4+1=3/8-2k
First of all collect the like terms,u will be getting something like this,
3/4+2k=1+3/8 , and then simplify it by finding the LCM of the denominators(4 and 8 and the denominators for 2k and 1 is 1 as it is not having any denominator)
After simplification u will b getting something like this
3k+8k/4=-8+3/8
Then cross multiply the numerator and denominator,u will b getting something like this,
11k x 5 and 4 x -5
88k=-20
so, k=-5/22
PROBLEM (2)
Here i am only going to write down the steps as the procedure u must have understood from the previous one.
8/5-2/3y=23-1/15y
find LCM
24-10y+1/15=23
24-10y+1=23 x 15
15y=23 x 15
y=23 x 15/15
ANS=23
2007-08-12 02:14:08 · answer #2 · answered by Anonymous · 0⤊ 0⤋
(3/4)k + 1 = 3/8 - 2k
11k/4 = -5/8
22k/8 = -5/8
22k = -5
k = -5/22
(8/5)y - (2/3)y = 23 - (1/15)y
Multipy each term by 15
24y - 10y = 23*15 - y
15y = 23*15
y = 23
2007-08-11 10:57:20 · answer #3 · answered by Steve A 7 · 0⤊ 0⤋
(3/4)k + 1 = 3/8 - 2k
11k/4 = -5/8
22k/8 = -5/8
22k = -5
k = -5/22
(8/5)y - (2/3)y = 23 - (1/15)y
24y - 10y = 23*15 - y
15y = 23*15
y = 23
2007-08-19 02:59:02 · answer #4 · answered by drei 2 · 0⤊ 0⤋
combine like terms
2007-08-11 10:39:02 · answer #5 · answered by Baton Twirler 3 · 0⤊ 0⤋
omg,flashbacks,I'm going to be ill.*_*good luck with that kiddo!
2007-08-19 05:53:54 · answer #6 · answered by t_blond_chick 7 · 0⤊ 0⤋
http://www.math.princeton.edu/~jmjohnso/delpezzo/SortedSeries.txt
2007-08-17 08:12:59 · answer #7 · answered by Heather C 4 · 0⤊ 0⤋