Question

Line segment AB intersects line segment ED in the middle at the point CIf DC=6+x and CE=2x+1, find the value of x

Answer 1

This problem is about middle points. Remember that a middle point divides equally the intersected segment, that means segments DC and CE are equal, so we can solve as follows

`DC=CE`
`6+x=2x+1`

Now, we have a linear equation. First, we need to put all terms with variables on the left side, and terms without variables on the right side-

`x-2x=1-6`

Now, we solve each difference

`-x=-5`

We need to multiply by -1 to have the variable positive

`x=5`

Therefore, the value of x is 5.