Question

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$$\begin{cases} x + y = 4 \\\\ -x - y = 6 \\end{cases}$$

Explanation:

Step1: Add the two equations

Add the equation \(x + y = 4\) and \(-x - y = 6\) together.
\((x + y)+(-x - y)=4 + 6\)
Simplify the left - hand side: \(x + y-x - y=0\), and the right - hand side: \(4 + 6 = 10\). So we get \(0=10\), which is a contradiction.

Answer:

The system of equations has no solution.