Question

1. \

$$\begin{cases} y = -x - 6 \\\\ y - 2x = -3x + 6 \\end{cases}$$

Explanation:

Step1: Simplify the second equation

First, simplify the second equation \( y - 2x=-3x + 6 \). Add \( 2x \) to both sides of the equation:
\( y=-3x + 2x+6 \)
\( y=-x + 6 \)

Step2: Set the two equations equal

We have the first equation \( y=-x - 6 \) and the simplified second equation \( y=-x + 6 \). If we set them equal to each other (since both equal \( y \)):
\( -x - 6=-x + 6 \)

Step3: Analyze the equation

Add \( x \) to both sides of the equation:
\( -6 = 6 \)
This is a contradiction, which means there is no solution to the system of equations.

Answer:

No solution