SOLUTION: Line segment Ab intersects line segment ED in the middle of point C. If DC=6x+x and CE=2x+1, find the value of x

Algebra ->  Points-lines-and-rays -> SOLUTION: Line segment Ab intersects line segment ED in the middle of point C. If DC=6x+x and CE=2x+1, find the value of x       Log On


   

Question 1194383: Line segment Ab intersects line segment ED in the middle of point C. If DC=6x+x and CE=2x+1, find the value of x
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if line segment AB intersects line segment ED in the middle of point C, then
DC=CE
if DC=6x%2Bx (? confused why +6x, why not just 6,so you have 6%2Bx)
and CE=2x%2B1,
find the value of x+
+6%2Bx=2x%2B1
+6-1=2x-x
+5=x
=>
+x=5



Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.

Usually,  people do not write in the problem description   DC = 6x + x.

Such writing is  highlight%28DEFINITELY%29  a  highlight%28SIGN%29  of  highlight%28ERROR%29.


And when a tutor detects an error in the visitor's writing,
the duty of the tutor is to inform the visitor about the error,
BUT  DO  NOT  SOLVE  incorrectly posed problem,  as  @MathLover1 does.


It is an elementary rule of the safety precautions.