anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jhonyy9
  • jhonyy9
how you need to solve it with sustitution method or elimination method ?
anonymous
  • anonymous
I found z by using the equations 1 and 3 and it doesnt tell i need help with x and y
jhonyy9
  • 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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anonymous
  • 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
  • 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
  • anonymous
wait how would set the up?
anonymous
  • anonymous
this?
jhonyy9
  • jhonyy9
3x+2y-3=7 5x+5y+4*(-3)=3 so can you make the calcule here ?
jhonyy9
  • jhonyy9
courage this is easy
anonymous
  • anonymous
how do you figure this out? i feel like an idiot right now
jhonyy9
  • 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
  • jhonyy9
so you dont wann making the calcules here for ?
anonymous
  • anonymous
-12 for the second equation?
jhonyy9
  • jhonyy9
but how will be firstly the first equation ?
jhonyy9
  • jhonyy9
3x+2y=10 do you understand how i have got this result ?
anonymous
  • anonymous
oh okay! you added plus three to the 7? and so the 3 crosses out then?
jhonyy9
  • jhonyy9
yes sure so than how you get the second equation ?
anonymous
  • anonymous
5x+5y-12=-9
jhonyy9
  • jhonyy9
equal 3 and not -9
anonymous
  • anonymous
okay so what do i do after that?
jhonyy9
  • jhonyy9
so will get 5x+5y-12=3 so now add to both sides 12 and will get ????
anonymous
  • anonymous
5x+5y=15
jhonyy9
  • jhonyy9
yes so now there are two equation 3x+2y=10 5x+5y=15 yes ?
jhonyy9
  • jhonyy9
ok ?
anonymous
  • anonymous
okay! got it so far
jhonyy9
  • jhonyy9
can you solve these system for x and y ?
anonymous
  • anonymous
yeah let me work it out
anonymous
  • anonymous
ok now im confused
jhonyy9
  • 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
  • anonymous
15?
jhonyy9
  • jhonyy9
why 15 ? and why not just 5 ???
anonymous
  • anonymous
5
jhonyy9
  • jhonyy9
yes 5 right so than how will be the second equation ?
anonymous
  • anonymous
im sorry what do you mean?
jhonyy9
  • 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
  • anonymous
okay i see what your ssaying
jhonyy9
  • jhonyy9
so than now there are 3x+2y=10 x+y=3 can you solve it now ?
anonymous
  • anonymous
what will you solve first the x or y? do you need to get rid of one?
anonymous
  • anonymous
i got it! i got the answr for y! y=-1
jhonyy9
  • jhonyy9
how ?
jhonyy9
  • 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
  • anonymous
ah thats why i just for x! i get it thank you!
jhonyy9
  • jhonyy9
so than 4 +y=3 y=3-4 y=-1 so than result that you have got it right ok ?
anonymous
  • anonymous
yup! thats what i did, thank you so much
jhonyy9
  • jhonyy9
was my pleasure yw good luck bye

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