# 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

When trying to find the solution to the following system of linear equations, Valentina takes several correct steps that lead to the equation 7, equals, minus, 17.
space, y, equals, 5, x, plus, 7
space, y, equals, 5, x, minus, 17
How many solutions does this system of linear equations have?
Please choose from one of the following options.