Respuesta :

It would be no solutions because

8x+2=-8x+2
+8x. +8x

16x +2 = 2
-2. -2

16x = 0

No solution

Answer: it has one solution

Step-by-step explanation:

Given :

[tex]y = 8x + 2[/tex] ................ equation 1

[tex]y = -8x + 2[/tex] ................. equation 2

Equating the two equation , we have

[tex]8x + 2 = -8x + 2[/tex]

collecting the like terms

[tex]8x + 8x = 2 - 2[/tex]

[tex]16x = 0[/tex]

[tex]x = 0[/tex]

substitute [tex]x = 0[/tex] into equation 1

[tex]y = 8x + 2[/tex]

[tex]y = 8(0) + 2[/tex]

[tex]y = 2[/tex]

Therefore : it has one solution