SOLUTION: If X+Y/Y =4 and X+Z/Z =6, what is the value of Y/Z? A) 3/5 B) 2/3 C)1 D) 3/2 E)5/3

Algebra ->  Equations -> SOLUTION: If X+Y/Y =4 and X+Z/Z =6, what is the value of Y/Z? A) 3/5 B) 2/3 C)1 D) 3/2 E)5/3      Log On


   

Question 480753: If X+Y/Y =4 and X+Z/Z =6, what is the value of Y/Z?
A) 3/5 B) 2/3 C)1 D) 3/2 E)5/3
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
from the first equation %28X%2BY%29%2FY+=4
X%2BY=4Y
X=4Y-Y
X=3Y then Y=X%2F3
from the second equation %28X%2BZ%29%2FZ+=6
X%2BZ=6Z
X=6Z-Z
X=5Z then Z=X%2F5
the value of Y%2FZ=%28X%2F3%29%2F%28X%2F5%29=5X%2F%283X%29=5%2F3
Answer E. 5%2F3