Question

What is the solution to the following system? -2x-y=1 -4x-2y=1

Answer 1

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`

Answer 2

`-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.