Solving equations w/ Fractions?

2008-05-02 3:35 pm
1.) 15m+3 all over 2 = -6
2.) 3/2x-15=-12
3.) -7x+3=-15/2
4.)4X+1/2 (12Z+2)=3
5.)3/2(X+8)=6X

回答 (6)

2008-05-02 3:44 pm
✔ 最佳答案
1)(15m+3)/2=-6
(15m+3)=-6*2
15m+3=-12
15m=-12-3
15m=-15
m=-15/15
m=-1


2.) 3/2x-15=-12
3/2x=-12+15
3/2x=3
x=3*2/3
x=2

3.) -7x+3=-15/2
(-7x+3)*2=-15
-14x+6=-15
-14x=-15-6
-14x=-21
-x=-21/14
-x=-3/2
x=3/2

4.)4X+1/2 (12Z+2)=3
4x+1/2 (12z+2)=3
u need 2 equations to solve this as this has 2 variables x & z

is we assume that there is only one variable x & the question is
4x+1/2 (12x+2)=3
4x+6x+1=3
10x=3-1
10x=2
x=2/10
x=1/5

5.)3/2(X+8)=6X
3/2(x+8)=6x
(x+8)=6x*2/3
x+8=4x
8=4x-x
8=3x
8/3=x
2016-10-25 6:44 pm
certain. It also ability divide- a fragment ability an similar element as dividing by technique of that wide type. e.g. 2/3 (2 thirds) has an similar meaning as 2 divided by technique of three. 2/3x + a million = 27 [subtract a million from both side] 2/3x = 26 [multiply both side by technique of three] 2x = seventy 8 [divide both side by technique of two] x = 39
2008-05-02 4:14 pm
1)
(15m + 3)/2 = -6
15m + 3 = 2(-6)
15m = -12 - 3
m = -15/15
m = -1

2)
3/2x - 15 = -12
3x/2 = -12 + 15
3x/2 = 3
3x = 2(3)
x = 6/3
x = 2

3)
-7x + 3 = -15/2
-7x = -7.5 - 3
-7x = -10.5
x = -10.5/-7
x = 1.5

4)
4x + (1/2)(12x + 2) = 3
4x + (12x + 2)/2 = 3
4x + 6x + 1 = 3
10x = 3 - 1
x = 2/10
x = 1/5 (0.2)

5)
(3/2)(x + 8) = 6x
(3x + 24)/2 = 6x
3x + 24 = 2(6x)
3x - 12x = -24
-9x = -24
x = -24/-9
x = 8/3
2008-05-02 3:44 pm
multiply the equations by the denominator to remove the fractions
1) 15m+3=-12
15m=-15
m=-1

2)3/12x=-12+15=3
3=12x x3
3=36x
1/12=x

3)-14x+6=-15
-14x=-21
x=3/2
2008-05-02 3:42 pm
1) 15m+3=-12
15m=-15
m=-1

2)3/2 x= 3
3x=6
x=2

3)-7x= -15/2 - 6/2
-7x=-21/2
-14x= -21
14x = 21
x = 3/2

4) 4x + 6x + 1=3
10x+1 = 3
10x = 2
x= 1/5

5) 3/2 x + 12 =6x
12= 9/2 x
24 = 9x
x= 24/9
x= 8/3
2008-05-02 3:42 pm
2.) 3/(2x) - 15 = -12 [note: 3/2x ≠ 3/(2x)]

Multiply both sides of the equation by 2x:
3 - 15(2x) = -12(2x)
3 - 30x = -24x

Add 24x-3 to both sides:
-6x = -3

Divide both sides by -6:
x = 1/2


收錄日期: 2021-05-01 10:27:00
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080502073554AAj8bW5

檢視 Wayback Machine 備份