i need help with math!! 10 points. :)?

Question

ok i need help with these problems..but if u can help me..PLEASE write the steps as well..k thanks!!

1. 3/4x - 2/3 = 5/6

2. 6x - 4 = 2x+10

3. 1/3x + 1/2 = 11/12

4. 3a + 13 = 9a - 8

5. 7/2x - 1 = 2x + 5

6. 3/4 (4/5x - 2 ) = 11/4


and theyre fractions!! i need these answer BEFORE tomorrow!!!

Answer 1

1. 3/4x - 2/3 = 5/6
3/4x = 5/6 + 2/3 *change side, "+" become "-", "-" become "+"
3/4x = 5/6 + 2/3(2/2) *to get an equal base
3/4x = 5/6 + 4/6
3/4x = 9/6
x = 9/6 (4/3)
x = 36/18
x = 2

to check
3/4(2) - 2/3
= 6/4 - 2/3
= 6/4(3/3) - 2/3(4/4) *to get an equal base
= 18/12 - 8/12
= 10/12
= 5/6
===============================================
2. 6x - 4 = 2x + 10
6x - 2x = 10 + 4
4x = 14
x = 14/4
x = 3.5

to check
6(3.5) - 4 = 2(3.5) + 10
21 - 4 = 7 + 10
17 = 17
===============================================
3. 1/3x + 1/2 = 11/12
1/3x = 11/12 - 1/2
1/3x = 11/12 - 1/2(6/6) *to get an equal base
1/3x = 11/12 - 6/12
1/3x = 5/12
x = 5/12 (3/1)
x = 15/12

to check
1/3(15/12) + 1/2
= 15/36 + 1/2
= 15/36 + 1/2(18/18) *to get an equal base
= 15/36 + 18/36
= 33/36 *divide by 3
= 11/12
===============================================
4. 3a + 13 = 9a - 8
3a - 9a = - 8 - 13
-6a = - 21
a = 21/6

to check
3(21/6) + 13 = 9(21/6) - 8
63/6 + 13 = 189/6 - 8
10.5 + 13 = 31.5 - 8
23.5 = 23.5
===============================================
5. 7/2x - 1 = 2x + 5
7/2x - 2x = 5 + 1
7/2x - 2x(2/2) = 6
7/2x - 4/2x = 6
3/2x = 6
x = 6(2/3)
x = 12/3
x = 4

to check
7/2(4) - 1 = 2(4) + 5
28/2 - 1 = 8 + 5
14 - 1 = 13
13 = 13
===============================================
6. 3/4 (4/5x - 2) = 11/4
3/4(4/5x) - 3/4(2) = 11/4
12/20x - 6/4 = 11/4
3/5x = 11/4 + 6/4
3/5x = 17/4
x = 17/4 (5/3)
x = 85/12

to check
3/4 (4/5(85/12) - 2)
= 3/4 (340/60 - 2) *divide by 10
= 3/4 (34/6 - 2) *divide by 2
= 3/4 (17/3 - 2)
= 3/4 (17/3 - 2(3/3)) *to get equal base
= 3/4 (17/3 - 6/3)
= 3/4 (11/3)
= 33/12 *divide by 3
= 11/4

Answer 2

1) 3/4x - 2/3 = 5/6
3/4x = 5/6 + 2/3
3/4x = 5/6 + 4/6
3/4x = 9/6
x = 9/6 / 3/4
x = 9/6 * 4/3
x = 36/18
x = 4/2
x = 2

2) 6x - 4 = 2x+10
6x - 2x = 4 + 10
4x = 14
x = 14/4
x = 7/2

3) 1/3x + 1/2 = 11/12
1/3x = 11/12 - 1/2
1/3x = 11/12 - 6/12
1/3x = 5/12
1/3x = 5/12 * 3/1
x = 15/12
x = 5/4 or 1 1/4

4) 3a + 13 = 9a - 8
8 + 13 = 9a - 3a
21 = 6a
21/6 = a
7/2 = a

5) 7/2x - 1 = 2x + 5
7/2x - 2x = 1 + 5
7/2x - 4/2x = 6
3/2x = 6
x = 6 * 2/3
x = 12/3
x = 4

6) 3/4 (4/5x - 2 ) = 11/4
4/5x - 2 = 11/4 * 4/3
4/5x = (11/4 * 4/3) + 2
4/5x = 44/12 + 2
4/5x = 11/3 + 2
4/5x = 11/3 + 6/3
4/5x = 17/3
x = 17/3 * 5/4
x = 85/12

Answer 3

im not gonna answer it all for you but i'll explain how you can approach it and solve it. you can move evrything with the same variable to the same side and then solve for x.

for example:
2. 6x-4 = 2x +10

move the x's to one side and the numbers to another, so it'll look like this.

6x-2x = 10+4
i subtracted 2x from both sides to move it over to the 6x and added 4 to both sides to move it over to be with the 10.

combine the like terms, and you'll have:

4x=14

then you divide both sides by 4 to have

x=14/4, which you can simplify.

all the other problems are similar to this. good luck!

Answer 4

1.9x-8=10
9x=18
x=2

2. 6x-4=2x+10
4x=14
x=14/4
x=7/2

3. 4x+6=11
4x=5
x=5/4

4. 3a+13=9a-8
-6a=-21
a=21/6
a=7/2

5. 7x-2=4x+10
3x=12
x=4

6. 12x/20-6/4=11/4
12x-30=55
12x=85
x=7.08

Answer 5

I sense the fact that you do not like fractions, so i'll put them in sig figs with scientific notation :]

Problem 1:
7.500*10^(-1) x - 6.667*10^(-1) = 8.333*10^(-1)
7.500*10^(-1) x = 8.333*10^(-1) + 6.667*10^(-1)
7.500*10^(-1) x = 1.500*10^(1)
x = 2.000*10^(0)

There might be a loss of precision due to the sig figs, but enjoy.

Answer 6

Help? YOU? If you can be online - and type out all these questions, you better LEARN how to do these questions so that you can actually live a life and USE math to get further ahead in life.

Answer 7

Well, I won't get 10 points, but...

DO YOUR OWN HOMEWORK!

We're not going to take the test for you, so you better get ready.
Remember that? The test you have to take soon?

Answer 8

Trying to cheat?..sorry, I won't be your bail out

Answer 9

the idea of home work is to work it out for yourself

Answer 10

psshhh go do your own hw.