i need help solving this system by graphing??

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i need help solving this system by graphing??

Mathematics
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\[\left\{ 2x+y=-7 \right\}\]
how do we graph in a text based area?
the best we can do is set up a table of solutions

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\[\left\{ -3x-2y=14 \right\}\]
substitution works pretty well in this scenario: can you solve the first equation for y?
yes
so, i subtract the 2y
-2x yes
ok
so i get
y = -7-2x; lets use this 'value' in the next equation
y=-2x-7
that ways good too ;)
doesnt the -2x come before because it has an x
it doesnt need to, but if you like it there; we can keep it there... it gets used up in the next one regardless
ok
-3x -2y = 14 - lets use that y value in this equation and solve for 'x'
and for the other one i subtract the -3x
To solve by graphing just means, draw the two lines and see where (if ever) they intersect.
lets keep the other one as is and use out y value in it
-3x -2y = 14 -3x -2(-2x-7) = 14 can you slove this ?
yes\
let me see you do it ;)
ok
ohh wait i dnt think i can solve this because it has two # before the paratheses
-3x -2(-2x-7) = 14 -3x +4x +14 = 14 -3x +4x +14-14 = 14-14 -3x +4x +0 = 0 the two numbers are seperate terms, they dont interfere with each other
oh ok
-3x +4x = 0 it just takes a little bit to be able to 'see' the problem :) x = 0 this is our solution
wait how did u get the x to = 0
First step; plug in the value for y -3 -2(-2x-7)= 14 ; now distribute the -2 thru the paranthesis
-3x +4x +14 = 14 do you see what i did there?
you did distributive property
yes, and since that was (-2) I used it in the process
-3x +4x +14 = 14 ; now we subtract 14 from both sides -3x +4x +14-14 = 14-14
and got 0
correct; -3x +4x = 0 x = 0
but dnt we have to get the values bythemselfs first
by themselves? what are you refering to?
like -3x-4x=0
subtract then divide
-3x+4x = 0 combine like terms -3x+4x = 1x right?
yes
then divide
yes, we do divide by 1 if we need to :) then 1x = 0 ....x = 0
oh ok
in my multiple choices i do not have any one that has x=0
they all start with 4 or -4
and y has 1 or -1
we use 0 to find the value of y now and your choices are going to be (0,y)
but there is no choice for that with 0.
remember we found that y = -2x-7 right?
yes
unless you gave me the wrong equation information, this is what the answer needs to be :)
no its all correct
y = -2(0) - 7 y = -7
its jst that they are on top of eachother .
lets see if these answers work; -3(0)-2(-7)=14 0+14=14
14=14
2x+y = -7 2(0) + -7 = -7 0 +-7 = -7 -7=-7
correct.
so we have the correct solution; but what are your answer to choose from look like?
(-4,-1) (4,1) (-4,1) (4,-1)
....... then either those go to a different problem; or they are simply wrong :)
i think they are wrong but idk.
there can only be one solution to lines that cross; it is the point we found (0,-7)
the problem is correct
ok well thanks.:)
if you ahve a teacher, bring it to their attention :)
yes i will do that
tag!!
Stop that.
lol tag
Really really annoying.

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