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determine the solution to the system. Explain which method you used to determine your solution. 2x+y=-15y-6x=7

Answer :

[tex]\begin{gathered} 2x+y=-1 \\ 5y-6x=7 \end{gathered}[/tex]

This is the system.

We will use the method of elimination to solve it.

So we will multiply the first equation by 3 and add it to the second one, this will gives us.

[tex]8y=4\rightarrow y=\frac{1}{2}[/tex][tex]2x+\frac{1}{2}=-1\rightarrow2x=-\frac{3}{2}\rightarrow x=-\frac{3}{4}[/tex]

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