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Mathematics 20 Online
OpenStudy (anonymous):

What is the solution to the system of equations below?

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?

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?

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=?

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?

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

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

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

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...

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 :)

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