Question

How many solutions does y=-7x+8 y=-7x-8 have?

Answer 1

Hey there!

The answer to your question is
`no`
`solutions`

To solve this, we will set the equations equal to eachother. We know that since the two expressions,
`-7x+8` and
`-7x-8` both equal
`y`, then the expressions are equal. (Somebody comment what property that is, I forgot what it's called) So:

`-7x+8=-7x-8\\`

Add
`8` to both sides:

`-7x+16=-7x`

Add
`7x` to both sides:

`16 = 0`

Therefore, there are
`no`
`solutions`.

Have a terrificly amazing day!

Answer 2

no solutions

Explanation:

Given the 2 equations

y = - 7x + 8 → (1)

y = - 7x - 8 → (2)

Substitute y = - 7x - 8 into (1)

- 7x - 8 = - 7x + 8 ( add 8 to both sides )

- 7x = - 7x + 16 (add 7x to both sides )

0 = 16 ← not possible

This indicates the system has no solutions