What is the solution to the given system?
y = -6x -2
y + 2 = -6x

Question

What is the solution to the given system?
y = -6x -2 
y + 2 = -6x

anonymous · Answer

@hartnn can you help? (:

hartnn · Answer

you have 'y' isolated in the first equation 
use this y and plug it in 2nd equation

y = -6x-2 in 2nd equation
gives you  -6x -2 +2 = -6x
can you simplify this further ?

anonymous · Answer

I combined the like terms (-6x) and got this
-2 + 2 = 12x

hartnn · Answer

not actually, 
12x will be +6x +6x
whereas in your question,

-6x -2 +2 = -6x
we need to add 6x on both sides giving us
-2+2 = -6x +6x

now whats -6x +6x = ...?

anonymous · Answer

-12x?

anonymous · Answer

ooh wait blonde moment haha! it would be 0 right?

hartnn · Answer

nopes,
when you factor out x from 
-6x+6x , we get 
x(-6+6)
and whats -6+6 =... ?

anonymous · Answer

attachment

hartnn · Answer

yes!
so, on right side we have a 0
on left side we have 
-2+2 
which is ?

anonymous · Answer

attachment

primeralph · Answer

Same thing.

hartnn · Answer

right so we have 0=0
that is true FOR EVERY VALUE of x or y
so, in such a case we say we have infinite solutions for x and y

anonymous · Answer

ohh I get it now!

hartnn · Answer

i'm glad to hear that :)