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Mathematics 21 Online
OpenStudy (marcelie):

help please !!!!

OpenStudy (marcelie):

OpenStudy (midhun.madhu1987):

The strategy is to reduce this to two equations in two unknowns. Do that by eliminating one of the unknowns from two pairs of equations: either from equations 1) and 2), or 1) and 3), or 2) and 3).

OpenStudy (midhun.madhu1987):

One step would be : Multiply equation 3 by 2 throughout and add with equation 1. This will eliminate x. Similarly find other ways...

Directrix (directrix):

@marcelie In your work, which variable did you think you would eliminate first?

OpenStudy (marcelie):

the z's?

Directrix (directrix):

If you have not started on the problem, then I'll begin with the intent to eliminate the x variable. Take equation #2 and equation # 3 2) -3x + 2y + z = 11 -3x + 2y + z = 11 3) -x + 5y + 3z = 4 --Multiply by -3 ---- 3x - 15y - 9z = -12 ----------------------------- @marcelie What do you get when you add the two equation on the far right?

OpenStudy (marcelie):

i got x= -45/13 and y = 17/13

OpenStudy (marcelie):

how do i find z ?

OpenStudy (marcelie):

i solved the equations

OpenStudy (marcelie):

my question is how do i find z?

OpenStudy (marcelie):

they are the same o.o

Directrix (directrix):

I will tell you how to find z. Take any one of the three equations. Substitute in for what you got for x and y. Crank out the value of z. For example, 2) -3x + 2y + z = 11 -3(-135/37) + 2(-7/37) + z = 11 Solve for z. If what you sub in for x and y are incorrect, z will also be incorrect.

OpenStudy (marcelie):

thats what i got for x and y

OpenStudy (marcelie):

x= -45/13 and y = 17/13

OpenStudy (marcelie):

my answer sheet says thats the answer o.o

OpenStudy (marcelie):

and i got that x.x

OpenStudy (marcelie):

i tried find z but doesnt give me the answer

Directrix (directrix):

Okay. Go ahead and use those to find z.

Directrix (directrix):

This will. Use it: -3(-135/37) + 2(-7/37) + z = 11

OpenStudy (marcelie):

i solved for z and i got - 2

OpenStudy (marcelie):

aight got it xD ty

Directrix (directrix):

So, the answer is ( -45/13, 17/13, -2 )

OpenStudy (marcelie):

yes

OpenStudy (marcelie):

i worked it out and gave me exact answers

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