Question

1. \

$$\begin{cases}5x + y = 8\\\\-5x = 8 + y\\end{cases}$$

Explanation:

Step1: Rewrite the second equation

Rewrite \(-5x = 8 + y\) as \(5x + y=-8\). Now the system is \(

$$\begin{cases}5x + y = 8\\5x + y=-8\end{cases}$$

\)

Step2: Analyze the system

Let \(A = 5x + y\). The first equation says \(A = 8\), the second says \(A=-8\). But a number can't be both 8 and -8. So the system has no solution.

Answer:

The system of equations \(

$$\begin{cases}5x + y = 8\\-5x = 8 + y\end{cases}$$

\) has no solution.