SOLUTION: what does b equal? 1/3(b-4)=1

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Question 73429: what does b equal? 1/3(b-4)=1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29%28b-4%29=1
%281%2F3%29%2Ab-%281%2F3%294=1Distribute the 1/3
%281%2F3%29%2Ab%2Bcross%28-4%2F3%2B4%2F3%29=1%2B4%2F3Add 4/3 to both sides
%281%2F3%29%2Ab=3%2F3%2B4%2F3Find common denominator
%281%2F3%29%2Ab=7%2F3Add fractions
cross%28%283%2F1%29%281%2F3%29%29%2Ab=%287%2Fcross%283%29%29%28cross%283%29%2F1%29Multiply both sides by 3
b=7
Check:
%281%2F3%29%287-4%29=1Plug in 7 for b
cross%28%281%2F3%29%283%29%29=1
1=1