Question

Solve the system graphically and algebrically

Answer 1

x+y=1
y=2/3x-4

Answer 2

@freckles

Answer 3

You're looking for x and y?

Answer 4

I dont know:(

Answer 5

Okay, well I believe you are because it says solve. There are two options here. Do you want the easy way or the harder way? (They aren't always easy versus hard, it just happens that one is a lot simpler in this instance)

Answer 6

easy way:)

Answer 7

Okay for the easy way in this instance, we will go with substitution. Do you know what that is?

Answer 8

yes.

Answer 9

Okay so use substitution by plugging in what the second equation gives you for "y" into the first equation. It should look like this: \[x+2/3x-4=1\]
You can solve this because it is one variable.

Answer 10

So solve for x

Answer 11

1^2/3x=5 ??

Answer 12

I'm not sure where you got one from.
Step one: add 4 to both sides. You get: \[x+2/3x=5\]

Answer 13

Step two: combine like terms. You get:\[5/3x=5\]

Answer 14

Do you get it so far?

Answer 15

yes:)

Answer 16

Step three: multiply each side by three (to get rid of the denominator): \[5x=15\]

Answer 17

Now what do you do?

Answer 18

x=3

Answer 19

Correct. Now, plug in what you just found for "x" into the first equation. Your equation should look like this now: \[3+y=1\]

Answer 20

ok:) Now what do we do?

Answer 21

Solve for "y" can you do that part by yourself?

Answer 22

i suppose. Is it y=-3x-1?

Answer 23

Nope. You plugged in an "x" for no reason. From your equation 3+y=1, all you have to do is subtract 3 from each side. You end up with: \[y=-2\]

Answer 24

Alright:)

Answer 25

Get that?

Answer 26

btw the question asks
Solve the system graphically and algebarically

it wants you to solve this problem both ways.

Answer 27

Okay so now we know that you have x=3 and y=-2. I don't have any way to graph it myself, but I plugged this into wolfram alpha so look at this graph:
http://www.wolframalpha.com/input/?i=x%2By%3D1%2C+y%3D%282%2F3%29x-4

Answer 28

Thank you! So, we solved it graphically, what would be the 'algebracially' part?

Answer 29

Well, since we found x=3 and y=-2, we can (if you want) turn it into a coordinate. I'm not sure if that's what your question wants, but based on the fact you need to graph it also, then turn it into a coordinate. It'll be (3,-2)

Answer 30

I'm guessing that your problem also wants you to graph the two equations.

Answer 31

But that would be your answer.

Answer 32

tHANKS<3 Can I ask another??

Answer 33

Sure but I'm not sure if I'll be able to answer everything.

Answer 34

it's fine.

Answer 35

Solve and graph

Answer 36

Let me see what I can do, give me a second. I might be able to help, but maybe not.

Answer 37

ok,if not, we can always call @phi lol

Answer 38

Yeah I'm sorry I kinda remember how to do this, but I'm not sure enough to help you. I don't want you to get it wrong.

Answer 39

it's cool :) Thanks anywayss

Answer 40

No problem. Good luck!

Answer 41

\[|x-1| -3 \le 1 \]
first add (write) +3 on both sides