Question

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

Answer 1

Answer:

no solutions

Step-by-step 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

Answer 2

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!