$\left\{\begin{array} { l } 8x=7+5y \\ 16x-10y=14\end{array} \right.$
Move the variable to the right-hand side and change its sign$\left\{\begin{array} { l } 8x=7+5y \\ 16x=14+10y\end{array} \right.$
Divide both sides of the equation by $2$$\left\{\begin{array} { l } 8x=7+5y \\ 8x=7+5y\end{array} \right.$
Since both expressions $7+5y$ and $7+5y$ are equal to $8x$, set them equal to each other forming an equation in $y$$7+5y=7+5y$
Solve the equation for $y$$y \in ℝ$
The statement is true for any value of $y$ and $x$ that satisfy both equations from the system. Therefore, the solution in parametric form is$\begin{array} { l }\left( x, y\right)=\left( \frac{ 7 }{ 8 }+\frac{ 5 }{ 8 }y, y\right),& y \in ℝ\end{array}$