Which of the following is the solution to the equation 8(y – 3) = 2y ?

Question

anonymous · Answer

y = 1.5
		
y = 4.5
		
y = –4.5
		
y = –1.5

hoblos · Answer

8(y – 3) = 2y 
8y -24 = 2y
6y = 24
y=4

hoblos · Answer

not one of the options though !!!

anonymous · Answer

yeahhh. i dont think 4 is the answer :(

hoblos · Answer

is it just like this   "8(y – 3) = 2y"  or there is something missing ??

anonymous · Answer

okay, i think i wrote it wrong. it should be 8^(y-3) =2^y

anonymous · Answer

Use logaritms in order to solve that.

hoblos · Answer

0k this makes a lot of difference......

8^(y-3) =2^y              remember that 8=2^3  ..

2^3(y-3) = 2^y

then   3(y-3) = y
         3y-9 = y
           2y = 9 
             y=4.5

anonymous · Answer

thank you so so much.!! :)

anonymous · Answer

Just think it through, you can't use 1.5 or -1.5, or else it will make the equation false. You are left with 4.5 and -4.5. -4.5 won't work since you will end up with a large negative number compared to a negative number.

anonymous · Answer

(y-3)*ln(8)=ln(2)*y
y*ln(8)-3*ln(8)=ln(2)*y
y(ln(8)-ln(2))=3ln(8)
y=3ln(8)/(ln(8)-ln(2)) ---> y=9/2=4.5