Question 22903: (y-8)/2=(y+10)/5
Answer by mmm4444bot(95)   (Show Source):
You can put this solution on YOUR website! Hello There:
(y - 8)/2 = (y + 10)/5
Clear the fractions by multiplying both sides of this equation by 10 (the LCM of 2 and 5).
5*(y - 8) = 2*(y + 10)
Use the distributive property to get rid of the parentheses.
5*y - 40 = 2*y + 20
Combine like terms; subtract 2*y from both sides and add 40 to both sides.
5*y - 2*y = 20 + 40
3*y = 60
Solve for y by dividing both sides by 3.
y = 60/3
y = 20
Check the answer by substituting 20 for y in the original equation, and then simplify to see if you end up with a true statement.
(20 - 8)/2 = (20 + 10)/5
12/2 = 30/5
6 = 6
Our solutions checks out.
~ Mark
|
|
|
