+0  
 
0
194
1
avatar

8n-(2n-3)=12

 

2/3+n+6=3/4

 

.5d-3d+5=0

 

-(w+5)=-14

 

a/20+4/15=9/15

 

Thanks!

Guest Oct 6, 2017
 #1
avatar
0

8n-(2n-3)=12

 

8n -2n + 3 = 12

6n + 3 = 12    subtract 3 from both sides

6n = 12 - 3

6n = 9              divide both sides by 6

n = 9/6

n= 1 1/2

 

.5d-3d+5=0

 

-2.5d + 5 = 0    subtract 5 from both sides

-2.5d = -5          divide both sides by -2.5

d = -5/-2.5

d = 2

 

-(w+5)=-14

-w - 5 = -14     add 5 to both sides

-w = -14 + 5

-w = -9             multiply both sides by -1

w = 9

 

2/3+n+6=3/4    subtract 6 2/3 from both sides

n = 3/4 - 6 2/3

n =3/4 - 20/3     GCD of 3 and 4 is 12

n =9/12 - 80/12

n = -71/12

n = - 5 11/12

 

a/20+4/15=9/15

 

Solve for a:
a/20 + 4/15 = 3/5

Put each term in a/20 + 4/15 over the common denominator 60: a/20 + 4/15 = (3 a)/60 + 16/60:
(3 a)/60 + 16/60 = 3/5

(3 a)/60 + 16/60 = (3 a + 16)/60:
(3 a + 16)/60 = 3/5

Multiply both sides of (3 a + 16)/60 = 3/5 by 60:
(60 (3 a + 16))/60 = (60×3)/5

(60×3)/5 = (60×3)/5:
(60 (3 a + 16))/60 = (60×3)/5

(60 (3 a + 16))/60 = 60/60×(3 a + 16) = 3 a + 16:
3 a + 16 = (60×3)/5
3 a + 16 = 12×3

12×3 = 36:
3 a + 16 = 36

Subtract 16 from both sides:
3 a + (16 - 16) = 36 - 16

16 - 16 = 0:
3 a = 36 - 16

36 - 16 = 20:
3 a = 20

Divide both sides of 3 a = 20 by 3:
(3 a)/3 = 20/3

3/3 = 1:
a = 20/3

Guest Oct 6, 2017

14 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.