(please walk me through this!)
Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by graphing.

6x - 2y = 2
2 + 6x = y

Question

(please walk me through this!)
Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by graphing. 

6x - 2y = 2
2 + 6x = y

yolomcswagginsggg · Answer

Let's solve for x. 6x−2y=2 Step 1: Add 2y to both sides. 6x−2y+2y=2+2y 6x=2y+2 Step 2: Divide both sides by 6. 6x 6 = 2y+2 6 x= 1 3 y+ 1 3 Answer: x= 1 3 y+ 1 3

yolomcswagginsggg · Answer

thats for the first equation.

yolomcswagginsggg · Answer

1/3 y+ 1/3

anonymous · Answer

yikes

pokiedokie · Answer

oh.. thank you!! that was easier than i expected

yolomcswagginsggg · Answer

lol

anonymous · Answer

$$6x - 2y = 2 \2 + 6x = y$$ you can substitute $2+6x$ for $y$ in the first equation, since that is what it is
you get $$6x-2(2+6x)=2$$

anonymous · Answer

@pokiedokie  it might seem easy but that answer is totally wrong

pokiedokie · Answer

oh whoops...

anonymous · Answer

you are solving a system of equations, i.e. where the lines intersect. 
you are not solving for x and y in one equation which is impossible

anonymous · Answer

do you understand what i wrote above?

pokiedokie · Answer

yes i do understand a bit of it

anonymous · Answer

can you solve $$6x-2(2+6x)=2$$ for $x$?

pokiedokie · Answer

i think so, but i'm still a little confused on where to start in the equation. like as in, do i take care of the parentheses first like in PEMDAS

anonymous · Answer

no it is not arithmetic, it is algebra
first use the distributive law to get rid of the parentheses

pokiedokie · Answer

OH, okay thats what i meant sorry, yikes...
so i distributed, is this correct:
6x - 4 + 12x = 2

anonymous · Answer

yes

anonymous · Answer

now combine like terms on the left

anonymous · Answer

oh sorry, no it is not right, but it is close

anonymous · Answer

$$6x - 4 -12x = 2
$$ is more like it

pokiedokie · Answer

oh okay, give me a second to combine

pokiedokie · Answer

sorry, i'm terrible at math but do you mean combining 6x with 12x or 4 and 2

anonymous · Answer

i mean do $$6x-12x$$

pokiedokie · Answer

im pretty sure the placement in what i put is wrong but it is 
x - 4-6x = 2

anonymous · Answer

what is $6-12$?

pokiedokie · Answer

-6

anonymous · Answer

ok so $$6x-12x=-6x$$ right?

yolomcswagginsggg · Answer

:P

anonymous · Answer

so you should have $$-6x-4=2$$ add $4$ next

pokiedokie · Answer

-6x = 6??

pokiedokie · Answer

and then i just divide

pokiedokie · Answer

@satellite73 the answer is -1, correct?

anonymous · Answer

yes

pokiedokie · Answer

thank you so much, sorry for being a pain in the butt!!

anonymous · Answer

no problem
btw this makes it "consistent" the fact that you get an answer

pokiedokie · Answer

noted, thank you very much!