Answer: The required value of x is 16.
Step-by-step explanation: Given that the value of y is 7 when the value of x is 8.
We are to find the value of x when y is 14.
The ratio of y to x is given by
[tex]y:x=7:8.[/tex]
Therefore, when y = 14, we must have
[tex]14:x=7:8\\\\\\\Rightarrow \dfrac{14}{x}=\dfrac{7}{8}\\\\\\\Rightarrow x=\dfrac{14\times8}{7}\\\\\Rightarrow x=16.[/tex]
Thus, the required value of x is 16.
