In this problem the equation system is:
[tex]\begin{gathered} 3x+5y=4 \\ x=-3-6y \end{gathered}[/tex]SO we can replace the second equation into the first equation so:
[tex]3(-3-6y)+5y=4[/tex]and we solve for y so:
[tex]\begin{gathered} -9-18y+5y=4 \\ 13y=-9-4 \\ y=-\frac{13}{13} \\ y=-1 \end{gathered}[/tex]Now we can replace the value of y into the second equation so:
[tex]\begin{gathered} x=-3-6(-1) \\ x=-3+6 \\ x=3 \end{gathered}[/tex]So the ordered pir is:
[tex](3,-1)[/tex]