Given:
[tex]\frac{2}{3}x=4-5y[/tex]Required:
To find whether the given equation represents a function or not.
Explanation:
Consider
[tex]\frac{2}{3}x=4-5y[/tex]A function is defined as a relation between a set of inputs having one output each.
Here
[tex]\begin{gathered} x=\frac{3}{2}(4-5y) \\ \\ x=6-\frac{15}{2}y \end{gathered}[/tex]Here the given equation is function.
Final Answer:
The given equation is function.