Question

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

Answer 1

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

Answer 2

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

Answer 3

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 ?

Answer 4

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

Answer 5

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 ?

Answer 6

wait how would set the up?

Answer 7

this?

Answer 8

3x+2y-3=7
5x+5y+4*(-3)=3

so can you make the calcule here ?

Answer 9

courage this is easy

Answer 10

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

Answer 11

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 ?

Answer 12

so you dont wann making the calcules here for ?

Answer 13

-12 for the second equation?

Answer 14

but how will be firstly the first equation ?

Answer 15

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

Answer 16

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

Answer 17

yes sure

so than how you get the second equation ?

Answer 18

5x+5y-12=-9

Answer 19

equal 3 and not -9

Answer 20

okay so what do i do after that?

Answer 21

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

Answer 22

5x+5y=15

Answer 23

yes so now there are two equation

3x+2y=10
5x+5y=15

yes ?

Answer 24

ok ?

Answer 25

okay! got it so far

Answer 26

can you solve these system for x and y ?

Answer 27

yeah let me work it out

Answer 28

ok now im confused

Answer 29

3x+2y=10
5x+5y=15

so first of all how do you see what can you factorizing out in the second equation ?

Answer 30

15?

Answer 31

why 15 ? and why not just 5 ???

Answer 32

5

Answer 33

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

Answer 34

im sorry what do you mean?

Answer 35

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 ?

Answer 36

okay i see what your ssaying

Answer 37

so than now there are

3x+2y=10
x+y=3

can you solve it now ?

Answer 38

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

Answer 39

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

Answer 40

how ?

Answer 41

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 ?

Answer 42

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

Answer 43

so than

4 +y=3
y=3-4
y=-1

so than result that you have got it right

ok ?

Answer 44

yup! thats what i did, thank you so much

Answer 45

was my pleasure

yw

good luck

bye