How many solutions does this system have?

x-2y=2
y= -2x+5
a. infinitely many solutions
b. no solutions
c. two solutions
d. one solution ******

Wrong the answer is one solution!!! I swear it

It is one solution. I got it wrong choosing infinitely many.

That is all

2y = x - 2

2y =-4x+ 10
different slopes so cross once, agree with you

Parallel lines - infinitely many solutions

Parallel line have the same slope

Perpendicular lines - one solution
Perpendicular lines have different slopes

seems what thats was confusin yall.

I still don't understand could someone please explain how you figure out if they are perpendicular or parallel

How many solutions does this system have?

x-2y=2
y= -2x+5
a. infinitely many solutions ***
b. no solutions
c. two solutions
d. one solution