Respuesta :

Answer: (1/4,-5) [tex]x=1/4, y=-5[/tex]

Step-by-step explanation:

Again, substitution is just plugging in a value(either x or y) in terms of its opposite(x or y). In this case, we are given x in terms of y, so we can plug in the value of y from the first equation into the second one and solve.

Solving:

Given: [tex]y=-4x-4, -4x-2y=9[/tex]

Use first equation and plug it into second:

[tex]-4x-2(-4x-4)=9[/tex]

[tex]-4x+8x+8=9[/tex]

[tex]4x+8=9[/tex]

[tex]4x=1[/tex]

---     ---

[tex]4[/tex]       [tex]4[/tex]

[tex]x=1/4[/tex]

Now plug in x into to first equation to get y!

[tex]y=-4x-4[/tex]

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

[tex]y=-5[/tex]

That's it!