Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

1/3(n+1)=1/6(3n-5)
I really need help on how to solve this i know the answer but im confused on how we got it

Sagot :

SAM9
1/3(n+1)=1/6(3n-5)
1/3n+1/3 = 1/2n-5/6
1/3 = 1/6n - 5/6
7/6 = 1/6n
so n = (7/6) / (1/6)
     n = 7
frika

Consider the equation [tex] \dfrac{1}{3}(n+1)=\dfrac{1}{6}(3n-5). [/tex]

1 step. Multiply this equation by 6:

[tex] \dfrac{6}{3}(n+1)=\dfrac{6}{6}(3n-5),\\ 2(n+1)=3n-5,\\2n+2=3n-5. [/tex]

2 step. Separate expressions in such way, that variables are in the left side and the numbers are in the right side:

[tex] 2n-3n=-5-2. [/tex]

3 step. Add expressions in both sides:

[tex] n\cdot (2-3)=-(5+2),\\-1\cdot n=-7,\\-n=-7. [/tex]

4 step. Multiply this equaiton by -1:

n=7.

Answer: n=7.

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.