Respuesta :

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

Hey there!

The answer to your question is [tex]no[/tex] [tex]solutions[/tex]

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

[tex]-7x+8=-7x-8\\[/tex]

Add [tex]8[/tex] to both sides:

[tex]-7x+16=-7x[/tex]

Add [tex]7x[/tex] to both sides:

[tex]16 = 0[/tex]

Therefore, there are [tex]no[/tex] [tex]solutions[/tex].

Have a terrificly amazing day!