Answered

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

Sagot :

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

This system has no solutions.
Equation system:
[tex]-2x-y=1-3x-2y \\ -2x+3x-y+2y=1-3x+3x-2y+2y=x+y=1[/tex]

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

Put the answer into the equation:
[tex]-2x-2=1 \\ x=1.5[/tex]
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