Question

how many solutions does this system have?
\\(\

$$\begin{cases}13x - y = 7\\13x - y = 16\\end{cases}$$

infinite
none
one

Explanation:

Step1: Analyze the two - equations

The two equations are \(13x - y=7\) and \(13x - y = 16\). They have the same left - hand side (\(13x - y\)) but different right - hand sides.

Step2: Consider the nature of the system

If we assume there is a solution \((x,y)\) that satisfies both equations, then \(7\) would have to equal \(16\) (since \(13x - y\) is the same in both), which is a contradiction.

Answer:

B. None