Respuesta :

Answer:

(-1,-3)

Step-by-step explanation:

The given system of equations is;

[tex]y=-5x-8...(1)[/tex]

and

[tex]y=4x+1...(2)[/tex]

Let us equate the two equations to get;

[tex]4x+1=-5x-8[/tex]

Group similar terms;

[tex]4x+5x=-8-1[/tex]

Simplify;

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

Divide both sides by 9.

[tex]x=-1[/tex]

Put x=-1, into any of the equations, say (2);

[tex]y=4(-1)+1[/tex]

[tex]y=-4+1[/tex]

[tex]y=-3[/tex]

The solution is;

(-1,-3)