Question

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

Answer 1

@hartnn can you help? (:

Answer 2

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 ?

Answer 3

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

Answer 4

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 = ...?

Answer 5

-12x?

Answer 6

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

Answer 7

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

Answer 8

0

Answer 9

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

Answer 10

0

Answer 11

Same thing.

Answer 12

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

Answer 13

ohh I get it now!

Answer 14

i'm glad to hear that :)