Mathematics
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OpenStudy (anonymous):
What is the solution to the system of equations below?
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OpenStudy (anonymous):
OpenStudy (superdavesuper):
add the second and third eqn together, what will u get?
OpenStudy (anonymous):
-2.
OpenStudy (superdavesuper):
-2 is on the right hand side of =
how about the left hand side?
OpenStudy (anonymous):
1?
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OpenStudy (superdavesuper):
nope plz try again:
x-y+z=-1
x+y-z=3
add them together for both the left n right hand side of =
OpenStudy (anonymous):
2?
OpenStudy (superdavesuper):
yes -1+3 is equal to 2
OpenStudy (superdavesuper):
but what about x-y+z and x+y-z part?
OpenStudy (anonymous):
umm...x^2? Cuz -y and -z would be negated?
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OpenStudy (superdavesuper):
x-y+z + x+y-z is not equal to x^2 because x^2 means x*x
OpenStudy (anonymous):
2x?
OpenStudy (superdavesuper):
ok then 2x=?
OpenStudy (anonymous):
2
OpenStudy (superdavesuper):
so x=?
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OpenStudy (anonymous):
x=2
OpenStudy (superdavesuper):
nope plz try again x=?
OpenStudy (anonymous):
-2? or 0?
OpenStudy (superdavesuper):
2x=? u just calculated that; scroll to see plz
so x=?
OpenStudy (anonymous):
2x=2?
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OpenStudy (superdavesuper):
Correct
OpenStudy (anonymous):
which is = to 1
OpenStudy (superdavesuper):
also correct x=1...so u solve 1/3 of ur prob. already :)
OpenStudy (anonymous):
okay so it's (1 ? ?)
OpenStudy (superdavesuper):
lets try adding the 1st n 2nd eqn now
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OpenStudy (superdavesuper):
x+y+z=-1 and
x-y+z=-1
Show BOTH parts after adding them together plz
OpenStudy (anonymous):
-1+-1=-2
2x+2z
OpenStudy (superdavesuper):
u show write them out as one:
2x+2z=-2
do u understand that? it is important!
OpenStudy (superdavesuper):
u should write....
OpenStudy (anonymous):
2x + 2z= -2
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OpenStudy (superdavesuper):
Good! now u just found x=.....put that back in this new eqn.....
OpenStudy (anonymous):
To get rid of z we turn it into a zero right? or a 1?
OpenStudy (superdavesuper):
No no no...scroll up n see what is x equal to; then put that value into 2x+2z=-2 to find z
OpenStudy (anonymous):
x= 1 or 2?
OpenStudy (superdavesuper):
U just calculated it....scroll up and find ur ans plz
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OpenStudy (anonymous):
2x + 2z= -2
2(1) + 2z = -2
2 + 2z = -2
-2-2 = -4
2z=-4
z=-2
OpenStudy (superdavesuper):
VERY GOOD! see it is not that complicated at all! so now u have found x and z...whats next?
OpenStudy (anonymous):
umm...so its (1 ? -2) right? So we just need to solve for z now...
OpenStudy (superdavesuper):
no, scroll up plz. u just found z=-2. last step is solve for y :)
OpenStudy (anonymous):
okay for y...
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OpenStudy (superdavesuper):
Put x=1 and z=-2 into any one of the three eqns...then solve for y plz
OpenStudy (anonymous):
x+y+z=-1 x-y+z=-1
1 + y -2 = -1 1 - y -2 = -1
-1 + y = -1 -1 - y= -1
y = 0 y = 0
OpenStudy (superdavesuper):
very good: u should only have to do it once but hey u double-check and did it twice :P
OpenStudy (anonymous):
Thank you so much!
OpenStudy (superdavesuper):
welcome n thanks for staying w me :)