Question

if $cd = x + 1$, $de = 4x$, and $ce = 6$, what is $cd$?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up length equation

$CD + DE = CE$
$\Rightarrow (x+1) + 4x = 6$

Step2: Simplify and solve for $x$

Combine like terms: $5x + 1 = 6$
Subtract 1: $5x = 5$
Divide by 5: $x = 1$

Step3: Calculate $CD$

Substitute $x=1$ into $CD=x+1$:
$CD = 1 + 1$

Answer:

2