The value of CD is 4 cm.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Since GH bisects CF, therefore:
CD = (1/2) CF
3y - 11 = (1/2) (2y -2)
(multiply both sides by 2)
6y - 22 = 2y - 2
6y - 2y = -2 + 22
4y = 20
y = 5
Now, Substitute with the value of y in the equation of CD, you get:
CD = 3y-11
CD = 3(5) - 11
CD = 15 - 11
CD = 4 cm
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