solve the following systems of equations by applying the method of Gauss:
-2x-y+z=-4
3x+y-2z=6
2x+y+z=6
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OpenStudy (aravindg):
@Muskan why do u find this difficult?
OpenStudy (anonymous):
i dont understand this equation
the method of gauss
OpenStudy (aravindg):
solve 2 eqns to remove a variable ,solve the new eqn with the 3rd eqn
OpenStudy (anonymous):
I get no good answer
OpenStudy (helder_edwin):
u can also use a matrix and row-reduce it
i think this is what u r supposed to do!
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OpenStudy (aravindg):
ya u can indeed use matrices
OpenStudy (aravindg):
AX=B
OpenStudy (anonymous):
What I like to do when solving linear systems is to label my equations. For these lets label them from top to bottom, 1, 2, and 3.
I see that if we add 1+2 or 1+3, we can eliminate a variable and create a new equation 4.
Want to first give that a try?
OpenStudy (aravindg):
@agentc0re ME 2 :p
OpenStudy (anonymous):
i was tried..
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OpenStudy (anonymous):
@AravindG It's the best way to keep track of things, don't ya think? :D great minds think alike.
OpenStudy (anonymous):
how can i solve ...
OpenStudy (anonymous):
Well what happens when you make two new equations by adding 1+2 and 1+3 like i suggested? call these new equations 4 and 5.
OpenStudy (aravindg):
u can solve when u make an honest attempt!!
OpenStudy (helder_edwin):
Come on @Muskan if we solve this for u it won't do u any good
do what @agentc0re suggested and tell us what u got
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OpenStudy (anonymous):
k..
OpenStudy (anonymous):
hey u have three equation and three unknown variable ! just find them a;;
OpenStudy (anonymous):
What did you get when you do what i suggested? Post your two new equations and we can go from there! :D
OpenStudy (aravindg):
@Muskan ?
OpenStudy (anonymous):
wait 2 min plz
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OpenStudy (helder_edwin):
so?
OpenStudy (anonymous):
first equ: -2x-y+z=4
second equ: 3x+y-2z=6
.................................
-x -z=2
first equ: -2x-y+z=4
third equ: 2x+y+z=6
.............................
2z=2
first equ: -2x-y+z=4 > -2*3-y+1=-4 > y=-4-1+6 > y=1
second equ: -x -z=2 > -x-1=2 > x=3
third equ: 2z=2 >z=2/2> z=1
y=1
x=3
z=1
OpenStudy (helder_edwin):
the sign of x is wrong
OpenStudy (anonymous):
-x=1+2> -x=3
OpenStudy (helder_edwin):
right -x=3 then x=-3
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OpenStudy (anonymous):
okk
OpenStudy (helder_edwin):
u have to recompute the value of y
OpenStudy (anonymous):
but..still is bad..
OpenStudy (helder_edwin):
eres española?
según tu perfil estudias en Linares
OpenStudy (anonymous):
si estoy en espana
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OpenStudy (helder_edwin):
yo soy de Bolivia
OpenStudy (anonymous):
aa bien
OpenStudy (anonymous):
hablar ingles muy bien
OpenStudy (helder_edwin):
tu solución es x=-3, y=11 y z=1
OpenStudy (anonymous):
como y=11
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OpenStudy (helder_edwin):
te dije que tenías que calcular de nuevo el valor de y
OpenStudy (anonymous):
first equ: -2x-y+z=4 > -2*3-y+1=-4 > y=-4-1+6 > y=1
yo hecho asi..
donde esta fallo
OpenStudy (helder_edwin):
tenías z=1 pero x=3 (que no era correcto)
lo correcto ex z=1 y x=-3 entonces
-2x-y+z=4
se convierte en
-2(-3)-y+1=4
de donde y=4-1-6=-3
OpenStudy (anonymous):
pero no es y=11
es y=-3
OpenStudy (helder_edwin):
lo siento cometí un error
z=1
x=3
y=-1
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OpenStudy (anonymous):
ahora
z=1
y=-3
x=-3
es correcto
OpenStudy (helder_edwin):
en lo que escribiste arriba -x-z=2
el signo de x es incorrecto
debería ser x-z=2 de donde x=3 (pues z=1)
OpenStudy (anonymous):
aah vale
OpenStudy (helder_edwin):
entonces -2x-y+z=-4 se convierte en
-2(3)-y+1=-4
de donde -y=-4-1+6=1 de donde y=-1
OpenStudy (anonymous):
man.wat language is this!!!!!! strange!
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OpenStudy (anonymous):
yuhuuuuuuuuuuuuu
I gottttt it....
OpenStudy (anonymous):
@Yahoo! is spanish
OpenStudy (anonymous):
u r frm Spain
OpenStudy (anonymous):
i thought u are frm PAK
OpenStudy (anonymous):
m 4rom pak
but i live in spain
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OpenStudy (anonymous):
oh.......thats Fine!
OpenStudy (anonymous):
m happy
i got my ans...
OpenStudy (anonymous):
i think u have done well...))
OpenStudy (helder_edwin):
buen trabajo @Muskan !
OpenStudy (anonymous):
gracias :))
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