Question

Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.

2x + y + z = –7
x – 3y + 4z = –14
x – 2y – 3z = –11

Answer 1

in other words, give them an answer which constitutes what you have gained thru the exercies

Answer 2

how would you go about solving these? other than relying upon other people to do it for you is the question they are asking :)

Answer 3

i have to add that this "complete sentence" motif is getting silly.
explain in complete sentences how you walk down a flight of stairs...

Answer 4

first i say a prayer, then I jump :)

Answer 5

use matrix,.

Answer 6

Without knowing which methods you have and have not been taught, our answers will not be astute

Answer 7

matrix is only really viable by machine; otherwise it just takes too long in my opinion

Answer 8

id use descartes method and graph circles and lines intersecting at odd angles to imagined dots and add up the circles

Answer 9

i do not rely on anyone to solve this for me i just do not know where to start from

Answer 10

although it's an exhaustful process, but there is an assurance at the end of your computation, your answer is reliable. .

Answer 11

you should start by choosing a method :)

Answer 12

substitution is the most reliable method to me as long as your mathing is up to par

Answer 13

elimination is quicker but prone to violent fits of fury and rage

Answer 14

matrix is a combonation of the 2

Answer 15

graphing is also a method but is the least reliable

Answer 16

thank you so much i have a better understanding of it now thanks for all your help

Answer 17

yw, and good luck with it ;)

Answer 18

just curious about something ....

2x + y + z = –7
x – 3y + 4z = –14
x – 2y – 3z = –11


2x + y + z +7=0
x – 3y + 4z +14=0
x – 2y – 3z +11=0


2x + y + z +7 (=) x – 3y + 4z +14 (=) x – 2y – 3z +11
-x + 2y + 3z -11 -x+ 2y + 3z -11 -x+ 2y + 3z -11
------------------------------------------------
x + 3y +4z -4 (=) -y +7z +3


x + 3y +4z -4 (=) -y+7z+3
+y -7z -3 +y -7z -3
--------------------------
x +4y -3z -7 = 0

hmmm, i got no idea what that could tell us about a solution tho

Answer 19

2 planes intersect in a line;

<2,1,1>
<1,-3,4>

x 2 1 x =4--3 = 7
y 1 -3 -y =(8-1) = -7 ; <1,-1,-1> is our direction vector then
z 1 4 z =-6-1 = -7

and a point that matches on both planes is:

3y +3z = –21 .... y-5=-7; y=-2
-3y + 4z = –14
---------------
7z = -35 ; z=-5

(0,-2,-5)

our line is then defined as:

x= 0+t
y=-2-t
z=-5-t

insert these xyz into the third equation and solve for t

x – 2y – 3z = –11

t +4+2t +15 +3t = -11

6t = -30 ... t=-5
................................

plug this into our line to see what point we get :)

x= 0+-5 = -5
y=-2--5 = 7
z=-5--5 = 10


(-5,7,10) might be it if i played me cards roght :)

Answer 20

z = 0 ... y = 3 i forgot how to add

Answer 21

2x + y + z = –7
-5 3 0
------------
-10+3 good

x – 3y + 4z = –14
-5 3 0
-----------
-5-9 good

x – 2y – 3z = –11
-5 3 0
----------
-5-6 good

Answer 22

anyways :) as you can see, there are quite a few ways to solve this; some more complicated than others ;)