Respuesta :

hello : 

 y=5x+8
y= -4x-1 
5x+8 = -4x-1
9x =-9
x = -1 
y = 5(-1)+8 = 3 
ordered pair is the solution to the system : ( -1 , 3)

Answer:

(-1,3)

Step-by-step explanation:

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

Both sides have y on the left hand side so make the right hand side equal and solve for x

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

To solve for x , add 4x on both sides

[tex]9x+8=-1[/tex]

Subtract 8 on both sides

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

Divide by 9 on both sides

[tex]x=-1[/tex]

Now plug in -1 for x in the first equation and find out y

[tex]y=5x+8[/tex]

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

[tex]y=-5+8[/tex]

[tex]y=3[/tex]

Ordered pair is (x,y) that is (-1,3)