Respuesta :

Solving by substitution method.

We have 2 equations:

[tex]y=-2x-9[/tex]

and

[tex]6x-5y=-19[/tex]

If we substitute the first equation into the second one, we get

[tex]6x-5(-2x-9)=-19[/tex]

which gives

[tex]\begin{gathered} 6x-5(-2x)-5(-9)=-19 \\ 6x+10x+45=-19 \\ 6x+45=-19 \\ 6x=-19-45 \\ 6x=-64 \\ x=-\frac{64}{6} \\ x=-10.666 \end{gathered}[/tex]

Now, we can substitute this result into the first equation, then we get

[tex]y=-2(-10.66)-9[/tex]

then, we have

[tex]\begin{gathered} y=21.33-9 \\ y=12.33 \end{gathered}[/tex]

Therefore, the solution of the system is

[tex]\begin{gathered} x=-10.66 \\ \text{and} \\ y=12.33 \end{gathered}[/tex]

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