SOLUTION: From daughters [age 14] schoolbook with no ISBN. x+1 over 3 = -x over 6 Thanks, you are great. I am learning lots from browsing here

Algebra ->  Equations -> SOLUTION: From daughters [age 14] schoolbook with no ISBN. x+1 over 3 = -x over 6 Thanks, you are great. I am learning lots from browsing here      Log On


   

Question 138487: From daughters [age 14] schoolbook with no ISBN.
x+1 over 3 = -x over 6
Thanks, you are great. I am learning lots from browsing here
Found 2 solutions by scott8148, ankor@dixie-net.com:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiplying by 6 __ 2(x+1)=-x __ distributing __ 2x+2=-x

adding x-2 __ 3x=-2 __ dividing by 3 __ x=-2/3

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%2B1%29%29%2F3 = %28-x%29%2F6
:
The easiest way to solve these type of problems, where you have single faction on
each side of the equal sign, is to cross multiply, resulting in:
:
6(x+1) = 3(-x)
;
Multiply what's inside the brackets
6x + 6 = -3x
:
Subtract 6 from both sides:
6x = -3x - 6
:
Add 3x to both sides
6x + 3x = -6
:
9x = -6
x = %28-6%29%2F9; divided both sides by 9
x = -2%2F3; reduced the fraction
:
:
Check solution in original equation:
%28%28x%2B1%29%29%2F3 = %28-x%29%2F6
Substitute -2/3 for x
%28%28%28-2%2F3%29%2B1%29%29%2F3 = %28-%28-2%2F3%29%29%2F6
%28%281%2F3%29%29%2F3 = %28%282%2F3%29%29%2F6; minus a minus is a plus
Invert the divisors and mult
%281%2F3%29%2A%281%2F3%29 = %282%2F3%29%2A%281%2F6%29
1%2F9 = 2%2F18; equality reigns, confirms our solution