Number of solutions to a system of equations algebraically

Determine the number of solutions of a given system of equations by considering its algebraic solution process.

Problem

3x+7y=103x+7y=8\begin{aligned} & -3x+7y = 10 \\\\ & -3x+7y = -8 \end{aligned}
How many solutions does the system have?
Please choose from one of the following options.