+0

# Please solve with all steps! You don't have to do them all :)

0
254
1

8n-(2n-3)=12

2/3+n+6=3/4

.5d-3d+5=0

-(w+5)=-14

a/20+4/15=9/15

Thanks!

Oct 6, 2017

#1
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

Oct 6, 2017