1. k + 6k = 8k - 4
2.10p - 14 - p = 4p - 9
3. x - 8x + 7 = 2x -11
4. 1/4x + 2/3 = x + 3/4
5. 1/2y - 2/3 = 2/3y + 1/2
6. 4/7p + 2/7p - 1 = 2/7p + 1/2
IM NOT IN SCHOOL RIGHT NOW DUE TO TEACHERS CONVENTION.
2006-10-13 07:09:45 · 11 answers · asked by Ashley 2 in Science & Mathematics ➔ Mathematics
1. 1k + 6k = 8k - 4
7k = 8k - 4
7k - 8k = -4
-1k = -4
k = 4
2. 10p - 14 - p = 4p - 9
9p - 14 = 9
9p = 23
p = 23/9 or 2.5555 BAR
3. x - 8x + 7 = 2x - 11
-7x + 7 = 2x - 11
7 = 9x - 11
18 = 9x
2 = x
x = 2
4. 1/4x + 2/3 = x + 3/4
1/4x - 4/4x + 2/3 = 3/4
-3/4x + 2/3 = 3/4
-3/4x = 3/4 - 2/3
-3/4x = 9/12 - 8/12
-3/4x = 1/12
-4 * (-3/4x) = -4 * 1/12
3x = -4/12
3x = -1/3
x = -1/3 * 1/3
x = -1/9
5. 1/2y - 2/3 = 2/3y + 1/2
1/2y - 2/3y - 2/3 = 1/2
3/6y - 4/6y = 1/2 + 2/3
-1/6y = 1/2 + 2/3
-1/6y = 6/2 + 4/6
-1/6y = 10/6
-1/6y = 5/3
-6/1 * (-1/6y) = 5/3 * (-6/1)
y = -30/3
y = -10
6. 4/7p + 2/7p - 1 = 2/7p + 1/2
6/7p - 1 = 2/7p + 1/2
6/7p = 2/7p + 1/2 + 2/2
6/7p -2/7p = 3/2
4/7p = 3/2
7/1 * 4/7p = 3/2 * 7/1
4p = 21/2
p = 21/8
2006-10-13 07:56:33 · answer #1 · answered by Bagheer_ 2 · 0⤊ 0⤋
k + 6k = 8k - 4
7k = 8k - 4
7k + 4 = 8k - 4 + 4
7k + 4 = 8k
7k + 4 - 7k = 8k - 7k
4 = k
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
10p - 14 - p = 4p - 9
9p - 14 = 4p - 9
9p -14 + 14 = 4p - 9 + 14
9p = 4p + 5
9 p - 4p = 4p + 5 - 4p
5p = 5
5p/5 = 5/5
p = 1
- - - - - - - - - - - - - - - - - - - - - - - - - - - -
1 - 8x + 7 - 2x - 11
- 7x + 7 = 2x - 11
- 7x + 7 + 7x = 2x - 11 + 7x
7 = 9x - 11
7 + 11 = 9x - 11 + 11
18 = 9x
18/9 = 9x/9
2 = x
- - - - - - - - - - - - - - - - - - - - - - - - -
1/4x + 2/3 = x + 3/4
12(1/4x + 12(2/3) = 12(x) + 12(3/4
3x + 8 = 4x +9
3x + 8 - 3x = 12x + 9 - 3x
8 = 9x + 9
8 - 9 - 9x + 9 - 9
- 1 = 9x
- 1/9 = 9x/9
- 1/9 = x
- - - - - - - - - - - - - - - - - - - - - - -
1/2y - 2/3 = 2/3y + 12
6(1/2y) - 6 (2/3) = 6(2/3y) + 6(1/2)
3y - 4 = 4y + 3
3y - 4 - 3y = 4y + 3 - 3y
-4 = y + 3
- 4 - 3 = u + 3 - 3
-7 = y
- - - - - - - - - - - - - - - - - - - - - - -
4/7p + 2/7p - 1 = 2/7p + 1/2
14(4/7p) + 14(2/7p) - 14(1) = 14(2/7p) + 14(1/2)
8p + 4p + 14 = 4p + 7
12p + 14 = 4p + 7
12p - 14 - 4p = 4p + 7 - 4p
8p - 14 = 7
8p - 14 + 14 = 7 + 14
8p = 21
8p/8 = 211/8
p = 21/8
- - - - - - - - -s
2006-10-13 08:16:22 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋
1. k + 6k = 8k - 4
7k-8k=-4
k=4
2. 10p - 14 - p = 4p - 9
9p-14=4p-9
5p=14-9=5
p=1
3. x - 8x + 7 = 2x -11
-7x+7=2x-11
-9x=-18
x=2
4. 1/4x + 2/3 = x + 3/4
x+8/3=4x+3
-3x=3-8/3
-3x=1/3
x=-1/9
5. 1/2y - 2/3 = 2/3y + 1/2
3y-4=4y+3
-y=7
y=-7
6. 4/7p + 2/7p - 1 = 2/7p + 1/2
4p+2p-7=2p+7/2
4p=7+7/2=21/2
p=21/8=2.625
2006-10-16 13:09:30 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
1. k + 6k = 8k - 4
7k=8k-4
adding -7k
0=k-4
adding 4k=4
2.10p - 14 - p = 4p - 9
9p-14=4p-9
adding 14
9p=4p+5
adding -4p
5p=5
p=1
3. x - 8x + 7 = 2x -11
-7x+7=2x-1
adding 11
-7x+18=2x
adding 7x
18=9x
x=2
4. 1/4x + 2/3 = x + 3/4
multiplying by 12
3x+8=12x+9
adding -8
3x=12x+1
adding -3x
0=9x+1
adding -1
9x=-1
x=-1/9
5. 1/2y - 2/3 = 2/3y + 1/2
multiplying by 6
3y-4=4y+3
dding 4
3y=4y+7
adding -4y
-y=7
x=-7
6. 4/7p + 2/7p - 1 = 2/7p + 1/2
multiplying by 14
8p+4p-14=4p+7
12p-14=4p+7
transposing
12p-4p=7+14
8p=21
p=21/8
2006-10-13 07:19:50 · answer #4 · answered by raj 7 · 0⤊ 0⤋
1.k=4
2.p=1
3.x=2
4.x=9
i don't feel like doing the rest
oh what i did is i found the difference between the actual numbers on one side vs the other and divided by the difference between the amount of variable on one side vs the other
ex: k+6k=8k-4
7k=8k-4
there is a difference of -1k from the first side to the next and a difference of -4 from the first side to the other.
-4/-1= 4
2006-10-13 07:20:25 · answer #5 · answered by European Chicken 2 · 0⤊ 0⤋
1) k+6k=8k-4
k+4=8k-6k
4=2k-k
k=4
2) 10p-14-p=4p-9
10p-p-4p=-9+14
10p-5p=5
5p=5
p=5/5
p=1
3) x-8x+7=2x-11
x-8x-2x=-11-7
-9x=-18
9x=18
[multiplying both sides with-1,it becomes+as -*-=+]
x=18/9
x=2/1
x=2
4) 1/4x+2/3x=x+3/4
L.H.S
1/4x+2/3x
taking lcm we get
7x/12
R.H.S
x+3/4
by taking lcm we get
(4x+3)/4
7x12=(4x+3)/4
by cross multiplying
4*7x=12*(4x+3)
28x=48x+36
-36=48x-28x
-36=20x
-36/20=x
-9/5=x
5) 1/2y+2/3=2/3y+1/2
again by taking lcmwe get,
(3y+4)/6=(4y+3)/6
muliplying 6 to both sides we get
3y+4=4y+3
4-3=4y-3y
1=y
6) 4/7p+2/7p-1=2/7p+1/2
6p/7-1=2/7p+1/2
taking lcm we get,
(6p-7)/7=(2p+7)/14
6p-7=(2p+7)/2
by cross multiplying
12p-14=2p+7
12p+2p=7+14
14p=21
p=21/14
dividing by 7we get
p=3/2
2006-10-13 07:56:21 · answer #6 · answered by Tabit 1 · 0⤊ 0⤋
1) k+6k = 8k - 4
add k and 6k = 7k
Therefore 7k = 8k-4
or 7k-7k = 8k-4-7k
0 = k-4
therefore k = 4.
2) simplify both sides
9p-14 = 4p-9
bring the 4p to the left side by subtracting 4p from both sides
5p -14 = -9
add 14 to both sides
5p = 5
divide both sides by 5
p = 1
Use the same technique to answer all questions. Try it yourslef.
2006-10-13 07:13:36 · answer #7 · answered by Anonymous · 0⤊ 0⤋
1) k=4
2) p=1
3) x=2
4) x = -1/9
5) y= -7
6) p=21/8
(thanx for the 2 points :D)
2006-10-13 07:24:58 · answer #8 · answered by Anonymous · 0⤊ 0⤋
1) k = 4
2) p=1
3) x=2
4) x = -1/9
5) y=-7
6) p = 21/8
2006-10-13 07:21:21 · answer #9 · answered by ag_iitkgp 7 · 0⤊ 0⤋
1. k=4
2. p=1
3. x=2
4. x=-1/9
5. y=-10
6. p=21/8
2006-10-13 07:16:44 · answer #10 · answered by ? 7 · 0⤊ 0⤋