## Dentermine whether this system of equations has one solution, no solution, or infinitely many solutions. y=8x+2. y=-8x+2

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer: it has one solutionStep-by-step explanation:Given :[tex]y = 8x + 2[/tex]

……………. equation 1Equating 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

It would be no solutions because

8x+2=-8x+2

+8x. +8x

16x +2 = 2

-2. -2

16x = 0

No solution