SOLUTION: Please help me solve this thanks (2y-7)/7 = (y+2)/8

Algebra ->  Equations -> SOLUTION: Please help me solve this thanks (2y-7)/7 = (y+2)/8      Log On


   

Question 971957: Please help me solve this thanks
(2y-7)/7 = (y+2)/8
Found 3 solutions by josgarithmetic, addingup, xx_katarina:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides by 7%2A8.....

16y-56=7y%2B14

9y=70

highlight%28y=70%2F9%29

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
(2y-7)/7 = (y+2)/8
Solving for y:
Multiply both sides by the common denominator 56 to get rid of the /7 and /8:
8(2y-7) = 7(y+2) Now multiply to get rid of the parenthesis:
16y-56 = 7y+14
Subtract 7y from both sides:
9y-56 = 14
Add 56 to both sides:
9y = 70
Divide both sides by 9:
y = 70/9; or in mixed numbers:7-7/9; or in decimals 7.778

Answer by xx_katarina(1) About Me  (Show Source):
You can put this solution on YOUR website!
16y-56 = 7y+14
y= 70/9
y= 7 7/9