What is the solution to the system?
Line 1
x y
–1 9
3 –3
Line 2
x y
–1 –1
2 5
( _ , _ )

- anonymous

What is the solution to the system?
Line 1
x y
–1 9
3 –3
Line 2
x y
–1 –1
2 5
( _ , _ )

- schrodinger

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- anonymous

use the equation of a line formula
y=mx+b

- anonymous

where m is the slope and b is the y-intercept

- anonymous

find the equation for the first line

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## More answers

- anonymous

Ok. I'm working on it

- anonymous

@10115658 Y= -3x + 9

- anonymous

@10115658 Thank you. I think I have figured it out.

- anonymous

sorry, i was afk.
give me a sec

- anonymous

ok

- anonymous

I got y=-3x+6

- anonymous

How did you get the 6?

- anonymous

y=-3x+b
plug in a point and solve for b

- anonymous

9=-3(-1)+b

- anonymous

9=3+b
b=6

- anonymous

I'm confused

- anonymous

I think I got it, b/c I lost you for a sec

- anonymous

ok, tell me what your answer is and i'll see what i get

- anonymous

ok, I figured it out

- anonymous

I'm trying to solve still.

- anonymous

I think it's 3. What do you think it is?

- anonymous

what is 3?

- anonymous

x

- anonymous

you should get a point x,y

- anonymous

thats not what i got for x

- anonymous

I'll try again with a point.

- anonymous

Do you want me to show you how i got to my answer?

- anonymous

Yes please

- anonymous

ok, so i found the equation for the first line as y=-3x+6, which i showed you previously

- anonymous

Yeah

- anonymous

the equation for the second line is y=2x+1, using the same method as the equation for the first line

- anonymous

now we need to find what x and y are

- anonymous

so we replace y in the first equation with 2x+1 and solve for x

- anonymous

2x+1=-3x+6

- anonymous

Ok I was trying to figure out x and y too.

- anonymous

solving for x i got
x=1

- anonymous

Then replace x with 1 in one of the equations to find y

- anonymous

y=2(1)+1

- anonymous

y=3

- anonymous

so the point is (1,3)

- anonymous

Do you agree with the answer?

- anonymous

Ok, but wouldn't be 9 though,b/c of the y-intercept.

- anonymous

B I mean

- anonymous

what do you mean? are you talking about the equation for the first line?

- anonymous

Yes

- anonymous

ok, theres an easy way to see if the equation is correct or not

- anonymous

so you think the equation is y=-3x+9 correct?

- anonymous

Yeah

- anonymous

ok, so you plug in a point and see if both sides of the equation are equal

- anonymous

lets plug in -1,9

- anonymous

Ok

- anonymous

9=-3(-1)+9

- anonymous

does 3(-1)+9 equal 9?

- anonymous

Not equal

- anonymous

so that equation is incorrect
lets try my equation

- anonymous

9=-3(-1)+6

- anonymous

Yeah lets try it

- anonymous

9=9
so the equation works

- anonymous

Yeah the equation works

- anonymous

so you understand now?

- anonymous

Yes thank you for helping me. I gave you a medal and became a fan.

- anonymous

https://www.wolframalpha.com/input/?i=y%3D-3x%2B6+%2C+y%3D2x%2B1

- anonymous

thats a nice visual representation

- anonymous

It is. It helped.

- anonymous

cool

- anonymous

Yeah thanks. I appreciate it.

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