Respuesta :

Answer:

(- 2, 4 )

Step-by-step explanation:

y = 2x + 8 → (1)

y = - 2x → (2)

substitute y = 2x + 8 into (2)

2x + 8 = - 2x ( add 2x to both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (2)

y = - 2(- 2) = 4

solution is (- 2, 4 )

Skylynn11

Answer: [tex]y=4,\:x=-2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=2x+8\\ y=-2x\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-2x[/tex]

[tex]\begin{bmatrix}-2x=2x+8\end{bmatrix}[/tex]

[tex]{Isolate\:}x{for -2x=2x+8[/tex]

[tex]x=-2[/tex]

[tex]\mathrm{For\:}y=-2x[/tex]

[tex]\mathrm{Substitute\:}x=-2[/tex]

[tex]y=-2\left(-2\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y=4[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are:[/tex]

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

Good Luck!

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