What is the solution of the system of equations?
somebody please help. can someone show me work?
3x+2y+z= 7
5x+5y+4z=3
3x+2y+3z=1

- anonymous

- chestercat

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- jhonyy9

how you need to solve it with sustitution method or elimination method ?

- anonymous

I found z by using the equations 1 and 3 and it doesnt tell i need help with x and y

- jhonyy9

ok i see it you can get the value of z using first end 3rd equation so how and how many you have got for z ?

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## More answers

- anonymous

i got z=-3 and i know the answer for y is -1 and x is 4 but i dont know how to get them

- jhonyy9

yes z=-3 is right sure so than this value of z=-3 you can using there in first and second equation
so than what will get if you us this value of z there ?
what will get for first equation and what for second ?

- anonymous

wait how would set the up?

- anonymous

this?

- jhonyy9

3x+2y-3=7
5x+5y+4*(-3)=3
so can you make the calcule here ?

- jhonyy9

courage this is easy

- anonymous

how do you figure this out? i feel like an idiot right now

- jhonyy9

in the first equation assun to both sides 3 and will get how many ?
so and for second equation multiplie 4 by (-3) and will get how many ?

- jhonyy9

so you dont wann making the calcules here for ?

- anonymous

-12 for the second equation?

- jhonyy9

but how will be firstly the first equation ?

- jhonyy9

3x+2y=10 do you understand how i have got this result ?

- anonymous

oh okay! you added plus three to the 7? and so the 3 crosses out then?

- jhonyy9

yes sure
so than how you get the second equation ?

- anonymous

5x+5y-12=-9

- jhonyy9

equal 3 and not -9

- anonymous

okay so what do i do after that?

- jhonyy9

so will get
5x+5y-12=3 so now add to both sides 12 and will get ????

- anonymous

5x+5y=15

- jhonyy9

yes so now there are two equation
3x+2y=10
5x+5y=15
yes ?

- jhonyy9

ok ?

- anonymous

okay! got it so far

- jhonyy9

can you solve these system for x and y ?

- anonymous

yeah let me work it out

- anonymous

ok now im confused

- jhonyy9

3x+2y=10
5x+5y=15
so first of all how do you see what can you factorizing out in the second equation ?

- anonymous

15?

- jhonyy9

why 15 ? and why not just 5 ???

- anonymous

5

- jhonyy9

yes 5 right so than how will be the second equation ?

- anonymous

im sorry what do you mean?

- jhonyy9

5x+5y=15 i have wrote above that you can factorizing out the 5 from the both sides but i mean that you can divide both sides by 5 and so will get
5x+5y=15 /5
x+y=3
ok ?

- anonymous

okay i see what your ssaying

- jhonyy9

so than now there are
3x+2y=10
x+y=3
can you solve it now ?

- anonymous

what will you solve first the x or y? do you need to get rid of one?

- anonymous

i got it! i got the answr for y! y=-1

- jhonyy9

how ?

- jhonyy9

3x+2y=10
x+y=3 --- y=3-x than this substitute in place of y in the first equation
3x+2(3-x)=10
3x+6-2x=10
x+6=10
x=10-6
x=4
ok ?

- anonymous

ah thats why i just for x! i get it thank you!

- jhonyy9

so than
4 +y=3
y=3-4
y=-1
so than result that you have got it right
ok ?

- anonymous

yup! thats what i did, thank you so much

- jhonyy9

was my pleasure
yw
good luck
bye

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