Question

Dentermine whether this system of equations has one solution, no solution, or infinitely many solutions.

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

Answer 1

It would be no solutions because

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

16x +2 = 2
-2. -2

16x = 0

No solution

Answer 2

Answer: it has one solution

Explanation:

Given :

`y = 8x + 2` ................ equation 1

`y = -8x + 2` ................. equation 2

Equating the two equation , we have

`8x + 2 = -8x + 2`

collecting the like terms

`8x + 8x = 2 - 2`

`16x = 0`

`x = 0`

substitute
`x = 0` into equation 1

`y = 8x + 2`

`y = 8(0) + 2`

`y = 2`

Therefore : it has one solution