In a code language, $\text{TUTORIAL}$ is written as $\text{DODNGLCF}$ and $\text{DANCE}$ is written as $\text{YCJMZ}$. How can $\text{EDUCATION}$ be written in that code?

This is a direct letter substitution code where each letter maps directly to a fixed code letter derived from the given examples:
From $\text{TUTORIAL}\to \text{DODNGLCF}$:
$\text{T}\to \text{D}$, $\text{U}\to \text{O}$, $\text{T}\to \text{D}$, $\text{O}\to \text{N}$, $\text{R}\to \text{G}$, $\text{I}\to \text{L}$, $\text{A}\to \text{C}$, $\text{L}\to \text{F}$

From $\text{DANCE}\to \text{YCJMZ}$:
$\text{D}\to \text{Y}$, $\text{A}\to \text{C}$, $\text{N}\to \text{J}$, $\text{C}\to \text{M}$, $\text{E}\to \text{Z}$

Now substitute for the letters of $\text{EDUCATION}$:

* $\text{E}\to \text{Z}$
* $\text{U}\to \text{O}$
* $\text{D}\to \text{Y}$
* $\text{A}\to \text{C}$
* $\text{T}\to \text{D}$
* $\text{I}\to \text{L}$
* $\text{O}\to \text{N}$
* $\text{N}\to \text{J}$

Combining the letters, we get $\text{ZYOMDCLNJ}$.