Search 82,117 tutors
FIND TUTORS
Ask a question
1 0

3(g+1)/8=5(g+2)/7

Tutors, please sign in to answer this question.

1 Answer

This is basically a strightforward order of operations question.  Let's go through it step-by-step.
 
3(g + 1)/8 = 5(g + 2)/7
3(g + 1) = 40(g + 2)/7     [multiplied both sides by 8]
21(g + 1) = 40(g + 2)     [multiplied both sides by 7]
21g + 21 = 40(g + 2)     [distributed 21 across the binomial (g + 1)]
21g + 21 = 40g + 80     [distributed 40 across the binomial (g + 2)]
-19g + 21 = 80     [subtracted 40g from both sides]
-19g = 59     [subtracted 21 from both sides]
g ≅ -3.1     [divided both sides by -19]