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do you move the x to the other side first or do you just solve

Well have you heard of substitution or elimination?

yes

Which process do you prefer?

substitution

so the equation would look like this
2y=x-6

What variable do you want to use?

x and y

Okay pick one. :)

x-2y=6

Lol tyler. I'm asking you to pick a variable that we can solve for in order to substitute.

oh lol x

ahah alrighty then.

x − 2y = 6
Solve that equation for x now. :)

so you would substitute 0 for x and the equation
(0)-2y=6

nooooooooooooo

where have you go that my friend

Solve for x :)

oops

x-2(0)=6

x=6

x=2y+6

YAY! :D

Okay now let's look at the second equation.

2x − 4y = 10

ok

We know that x=2y+6
Now plug that value for x into this equation
2x − 4y = 10

ok so 2(2y+6)-4y=10

4y+12-4y=10

8y+12=10
8y=-2

Wait a minute..

2(2y+6)-4y=10
4y+12-4y=10
4y-4y=0
12=10
Dang we did something wrong.

yeah maybe we entered the wrong equation

uhm lets try solving for x in the bottom equation?
2x-4y=10

actually don't...it won't work again.

Are you okay if we try elimination?

yeah sure

yay

you multiply everthing by two or what

yes by -2

ok so -2x-(-4)y=-20

what is 6 x -2?

We just wanted to multiply x-2y=6
You should have gotten
(-2)x-(-2)(2)y=6(-2)

-2x-(-4)y=-12

okay what is a negative times a negative

positive

so its a positive 4y

yes

now rewrite the equation we have.

-2x+4y=-12

Alright turn up.

yay

Woah there amigo, what is this?

the answers

What?
Those look like dif questions,
I am confused.

ok look at this

thats the whole question

your fine you were help @karatechopper

which question are we working on?

the one up above

but ill show you it just in case you didnt see it

It's an interesting problem, hmmmm.

can you add these 2 equations and tell me what you get:
6x − 2y = 3
5x + 3y = 4

ok

so basically, what is
6x + 5x -2y + 3y = 3 + 4

yeah sorry i was doing something else

11x-y=7

and which answer choice has 11x-y=7 ?

the third and the fourth one

C and D

C has 11x \(\bf\color{red}{−}\) y = 7
D has 11x \(\bf \color{red}{+}\) y = 7

so the answer is C

correct

awesome thank you

np :)