SOLUTION: If X+y+z=112 and y=4x and z=11y then find the value of y

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: If X+y+z=112 and y=4x and z=11y then find the value of y      Log On


   

Question 990655: If X+y+z=112 and y=4x and z=11y then find the value of y
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
You are given

x + y + z = 112,
y = 4x,
z = 11y.

Find y.
---------------------------------------

Substitute  y = 4x  and  z = 11y = 11*(4x) = 44x  into the first equation.  You will have

x + 4x + 44x = 112,     or

49x = 112.

Hence,  x = 112%2F49.

Therefore,  y = 4x = %284%2A112%29%2F49 = 448%2F49.