+0  
 
0
1422
3
avatar

PLease show the steps (NEED EQUATION+WAY SOLVED) 

1.)one half of a number added to 8 is 14 Let n be the number 

 

 

 

B.)Then to verify the solution, subsitiute n=(blank) into the equation 

Left side:                                                                                                Right side:

 Nov 25, 2015

Best Answer 

 #1
avatar+128475 
+10

8 + (1/2)n  = 14      multiply everything by 2

 

16 + n  = 28          subtract 16 from both sides

 

n  =  12

 

Check answer

 

8 + (1/2)*12  = 14

 

8 + 6   = 14

 

14  = 14

 

 

cool cool cool

 Nov 25, 2015
 #1
avatar+128475 
+10
Best Answer

8 + (1/2)n  = 14      multiply everything by 2

 

16 + n  = 28          subtract 16 from both sides

 

n  =  12

 

Check answer

 

8 + (1/2)*12  = 14

 

8 + 6   = 14

 

14  = 14

 

 

cool cool cool

CPhill Nov 25, 2015
 #2
avatar
+10

This question is a little tricky     Does it mean  1/2 ( number added to eight)   or 1/2number  added to eight  ???   It could be either....Chris gave you the second version. (it would be clearer if it said ' one-half of a number WHICH is added to eight'....but it doesn't)    Here is the First Version

1/2 (n + 8) = 14            Use distributive property to multiply through

1/2n + 1/2 (8) = 14       

1/2n + 4 = 14                 Subtract 4 from each side

1/2n = 10                        Multiply both sides by 2

n= 20

 

Substitute     to check     1/2 (20 + 8) = 14

                                          10 + 4 + 14               yep, checks out !

 Nov 25, 2015
 #3
avatar+128475 
0

Thanks, guest.....that second interpretation didn't cross my mind.......oh, well......the questioner now has two options available.....!!!!!

 

 

 

cool cool cool

 Nov 26, 2015

3 Online Users

avatar
avatar