Question

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Answer 1

ok so which method do you think we should use

Answer 2

:D My favorite!

Answer 3

Do you have this Ari?

Answer 4

well we're not gonna answer it for you, but we'll help

Answer 5

We shall guide you along like a little lamb.

Answer 6

ok so if we're using substitution, what's our first step

Answer 7

So we have
\[x-y=16\]
\[2x+y=2\]
We are going to want to isolate one of the variables in one of the equations. Can you do that for us?

Answer 8

Lets use the first equation to isolate x.

Answer 9

take x - y = 16. we're gonna solve for x ok? and to do that, you just gotta add y to both sides

Answer 10

x-y=16
You would move the y over to the right side of the equation.
x=y+16

Answer 11

then you're going to take that and substitute it for x in the second equation

Answer 12

2x + y = 2
2(y + 16) + y = 2

Answer 13

Where there is an x in the second equation, plug in the value that you found.

Answer 14

I'm gonna head out, I think I may be confusing more than helping.

Answer 15

aw ok :/

Answer 16

now you have distribute the 2

Answer 17

have to*

Answer 18

so what do you get once you do that

Answer 19

2(y + 16) + y = 2

you multiply the 2 with the y and the 2 with the 16

Answer 20

yea

2(y + 16) + y = 2
2y + 32 + y = 2

now combine like terms

Answer 21

do you know what your like terms are

Answer 22

2y and y are your like terms..so add them

Answer 23

it is 3y

3y + 32 = 2

now you have to get y by itself. do you know how to do that?

Answer 24

well first you have to subtract 32, but yea. you gotta divide too. can you tell me what y equals?

Answer 25

did you just guess

Answer 26

so why do you think it's 12

Answer 27

yes, it is totally wrong lol

3y + 32 = 2

subtract 32 from both sides, then divide both sides by 3

Answer 28

@AriPotta

Answer 29

yes, from 2. you couldn't subtract it from 3y even if you wanted to. they're not like terms.

Answer 30

yes. now divide

Answer 31

yes! now we can substitute that into the first equation to solve for x

x - y = 16
x - (-10) = 16

can you tell me what x equals?

Answer 32

yep!

Answer 33

do you understand this better now?

Answer 34

@AriPotta much better!

Answer 35

:] good luck~