Question

graphing systems

Answer 1

@abb0t

Answer 2

@whpalmer4

Answer 3

@SithsAndGiggles @shamil98

Answer 4

@tHe_FiZiCx99

Answer 5

this is my last one

Answer 6

I am not sure, my best guess would be. Write \(\color{blue}{ -4x-2=-x+3 }\) as \(\color{purple}{ y= -4x-2} \) and \(\color{purple}{ y=-x+3 }\)

Can you graph these 2 purple equations?
The intersection is the solution.

Answer 7

i tried that using geogebra , but the coordinates are fractions. we have to find them algebraically

Answer 8

Yeah, algebraically, find the y and the x, and write it as (x,y). There will be you answer.

Let me know if you need more help.

Answer 9

how do i find it algebraically if i use geogebra?

Answer 10

@eliassaab @e.mccormick

Answer 11

https://www.wolframalpha.com/input/?i=plot+ {-4+x+-+2%2C+-x+%2B+3}

Answer 12

https://www.wolframalpha.com/input/?i=solve++-4+x+-+2%3D-x+%2B+3+

Answer 13

i need to explain how i got it

Answer 14

\[
-4 x - 2 = -x + 3\\
-4 x + x = 3 +2\\
-3 x =5\\
x= -\frac 5 3
\]

Answer 15

what are the steps you did ?

Answer 16

Think about them. Try to find out what I did?

Answer 17

i was thinking you would solve like a regular equation, like subtracting and dividing from both sides… but i can't seem to see it

Answer 18

@ranga

Answer 19

@nikato

Answer 20

first, with the given
-4x-2=-x+3
solve for x

Answer 21

-3x = 5

-5/3

Answer 22

correct, so x=-5/3

you should also realize that you were actually given two equations;

-4x-2=y and -x+3=y

they just gave it to you in a form by substitution.

with this, pick one of those two equations and substitute -5/3 of x to solve for y

Answer 23

the second one

Answer 24

so 5/3 + 3 = y

Answer 25

ok, so what is y?

Answer 26

and do you get why and where i got those 2 equations

Answer 27

yes but how do i add 5/3 and 3

Answer 28

oops. i meant divide

Answer 29

once i subtract 3 from both sides

Answer 30

you can either
1. use a calculator
2. change 5/3 to a mixed fraction so it becomes 1 1/3+3
3. change 3 to 9/3 so you have 5/3 + 9/3

Answer 31

14/3

Answer 32

correct, then thats y.
you did not have to subtract 3.

*oops 1 2/3 not 1 1/3

Answer 33

so x = -5/3

y = 14/3

Answer 34

correct

Answer 35

so the point of intersection is (-5/3, 14/3) ?

Answer 36

correct.
and just to let you know, the problem didnt really ask you to find the intersection like this, algebraically. it asked you to find it by graphng

Answer 37

ohh ok well thanks :)

Answer 38

yea, no problem