Verified Answer :

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\(-2x-y=1 \ \ \ \ | \cdot (-2)\\ -4x-2y=1 \\ \\ 4x+2y=-2 \\ \underline{-4x-2y=1 \ \ \ } \\ 4x-4x+2y-2y=1-2 \\ 0=-1 \\\)

This system has no solutions.

Equation system:
\(-2x-y=1-3x-2y \\ -2x+3x-y+2y=1-3x+3x-2y+2y=x+y=1\)

Subsitute x with 1-y and solve y:
\(1-4(1-y)-2y=1 \\ 1-4+4y-2y=1 \\ 2y=4 \\ y=2\)

Put the answer into the equation:
\(-2x-2=1 \\ x=1.5\)

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