anonymous
  • anonymous
i need help solving this system by graphing??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\left\{ 2x+y=-7 \right\}\]
amistre64
  • amistre64
how do we graph in a text based area?
amistre64
  • amistre64
the best we can do is set up a table of solutions

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More answers

anonymous
  • anonymous
\[\left\{ -3x-2y=14 \right\}\]
amistre64
  • amistre64
substitution works pretty well in this scenario: can you solve the first equation for y?
anonymous
  • anonymous
yes
anonymous
  • anonymous
so, i subtract the 2y
amistre64
  • amistre64
-2x yes
anonymous
  • anonymous
ok
anonymous
  • anonymous
so i get
amistre64
  • amistre64
y = -7-2x; lets use this 'value' in the next equation
anonymous
  • anonymous
y=-2x-7
amistre64
  • amistre64
that ways good too ;)
anonymous
  • anonymous
doesnt the -2x come before because it has an x
amistre64
  • amistre64
it doesnt need to, but if you like it there; we can keep it there... it gets used up in the next one regardless
anonymous
  • anonymous
ok
amistre64
  • amistre64
-3x -2y = 14 - lets use that y value in this equation and solve for 'x'
anonymous
  • anonymous
and for the other one i subtract the -3x
anonymous
  • anonymous
To solve by graphing just means, draw the two lines and see where (if ever) they intersect.
amistre64
  • amistre64
lets keep the other one as is and use out y value in it
amistre64
  • amistre64
-3x -2y = 14 -3x -2(-2x-7) = 14 can you slove this ?
anonymous
  • anonymous
yes\
amistre64
  • amistre64
let me see you do it ;)
anonymous
  • anonymous
ok
anonymous
  • anonymous
ohh wait i dnt think i can solve this because it has two # before the paratheses
amistre64
  • amistre64
-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
anonymous
  • anonymous
oh ok
amistre64
  • amistre64
-3x +4x = 0 it just takes a little bit to be able to 'see' the problem :) x = 0 this is our solution
anonymous
  • anonymous
wait how did u get the x to = 0
amistre64
  • amistre64
First step; plug in the value for y -3 -2(-2x-7)= 14 ; now distribute the -2 thru the paranthesis
amistre64
  • amistre64
-3x +4x +14 = 14 do you see what i did there?
anonymous
  • anonymous
you did distributive property
amistre64
  • amistre64
yes, and since that was (-2) I used it in the process
amistre64
  • amistre64
-3x +4x +14 = 14 ; now we subtract 14 from both sides -3x +4x +14-14 = 14-14
anonymous
  • anonymous
and got 0
amistre64
  • amistre64
correct; -3x +4x = 0 x = 0
anonymous
  • anonymous
but dnt we have to get the values bythemselfs first
amistre64
  • amistre64
by themselves? what are you refering to?
anonymous
  • anonymous
like -3x-4x=0
anonymous
  • anonymous
subtract then divide
amistre64
  • amistre64
-3x+4x = 0 combine like terms -3x+4x = 1x right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
then divide
amistre64
  • amistre64
yes, we do divide by 1 if we need to :) then 1x = 0 ....x = 0
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
in my multiple choices i do not have any one that has x=0
anonymous
  • anonymous
they all start with 4 or -4
anonymous
  • anonymous
and y has 1 or -1
amistre64
  • amistre64
we use 0 to find the value of y now and your choices are going to be (0,y)
anonymous
  • anonymous
but there is no choice for that with 0.
amistre64
  • amistre64
remember we found that y = -2x-7 right?
anonymous
  • anonymous
yes
amistre64
  • amistre64
unless you gave me the wrong equation information, this is what the answer needs to be :)
anonymous
  • anonymous
no its all correct
amistre64
  • amistre64
y = -2(0) - 7 y = -7
anonymous
  • anonymous
its jst that they are on top of eachother .
amistre64
  • amistre64
lets see if these answers work; -3(0)-2(-7)=14 0+14=14
anonymous
  • anonymous
14=14
amistre64
  • amistre64
2x+y = -7 2(0) + -7 = -7 0 +-7 = -7 -7=-7
anonymous
  • anonymous
correct.
amistre64
  • amistre64
so we have the correct solution; but what are your answer to choose from look like?
anonymous
  • anonymous
(-4,-1) (4,1) (-4,1) (4,-1)
amistre64
  • amistre64
....... then either those go to a different problem; or they are simply wrong :)
anonymous
  • anonymous
i think they are wrong but idk.
amistre64
  • amistre64
there can only be one solution to lines that cross; it is the point we found (0,-7)
anonymous
  • anonymous
the problem is correct
anonymous
  • anonymous
ok well thanks.:)
amistre64
  • amistre64
if you ahve a teacher, bring it to their attention :)
anonymous
  • anonymous
yes i will do that
amistre64
  • amistre64
tag!!
anonymous
  • anonymous
Stop that.
amistre64
  • amistre64
lol tag
anonymous
  • anonymous
Really really annoying.

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