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 2 years ago
how do i solve the system of equations?
2x + 4y + 3z = 6
3x + 5y + 6z =3
2x + 3y + 4z = 8
 2 years ago
how do i solve the system of equations? 2x + 4y + 3z = 6 3x + 5y + 6z =3 2x + 3y + 4z = 8

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beketso
 2 years ago
Best ResponseYou've already chosen the best response.1are you familiar with matrices

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1well you can use the gaussian elimination

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1meaning you use the elementary row operations

beketso
 2 years ago
Best ResponseYou've already chosen the best response.12 4 3  6 3 5 6  3 2 3 4  8 subtract row 1 from row 3 and tell me what u get

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.10 1 1 2 is that right?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1yeah.now divide row 1 by 2

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1ok the answer i have above isnt row one is it or is row one in the problem still?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1no.it is still row 3.row one is ur original problem 2 4 3  6

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.12/3 4/5 1/2 2 right?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1it is actually 1 2 3/2  3 get it?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1well u take the first row.and u divide by 2.then it changes from 2 4 3 6 to 1 2 3/2  3

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1ohh! u divid by two not thr 2nd row :/lol now i got that ok

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1then your rows are now like this 1 2 3/2  3 3 5 6  3 0 1 1  2

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1sorry. multipy row 1 by 3 the subtract it from row 2 the u have a reduced row 2

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1when i subtract which number should be on top?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.11 2 3/2  3 _ _ _  _ 0 1 1  2 the only r0w that changes is row 2

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1yea,ok i get that so row to is now 3 8 9/2 3

beketso
 2 years ago
Best ResponseYou've already chosen the best response.13(3X3) = 0 That is how u do it.

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1meaning u take 1 from row1 and multiply by 3 the u subtract the answer from 3 in row 2 and u get ur as 0. do the same with the second term

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1then u get 1 2 3/2  3 0 1 3/2  6 0 1 1  2

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1ok then from there what do i do next ?

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1ok is this the answer or is the more?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.11 2 3/2  3 0 1 3/2  6 0 1 1 2 in row 1 u must eliminate 2 and in row 3 must eliminate 1.

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1add row 3 and row 2 to get 1 2 3/2 3 0 1 3/2 6 0 0 1/2 4 and u jst eliminated 1 from row 3

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1sorry u jst eliminated 1 from row 3

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1then now we eliminate 2 from row 1

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1i figured u ment that

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1then u get 1 0 9/2 9 0 1 3/2  6 0 0 1/2 4

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1basically u want to get to a point were u have 1 0 0  ? 0 1 0  ? 0 0 1  ?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1now divide row 3 by 1/2 (half)

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1what is 4 divided by half

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1then u have 1 0 9/2  9 0 1 3/2  6 0 0 1  8 what do u think u should do to eliminate 9/2?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1remember you want it to be 0

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1on then subtract 9/2?

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1what bout the numbers on the end?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1so mentally multiply row 3 by 9/2

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1and then subtract it from row 1

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1what do u get for row1?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1now u got 1 0 0  27 0 1 3/2 6 0 0 1 8

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1u must now eliminate 3/2.how do u think u do that?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1how do you think u can do it?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1sure.which row can u use to eliminate it?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1multiply row3 by 3/2 and add it to row2

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1that way 1 becomes 3/2 and you can add that to row 2.the 3/2 + 3/2 = 0 which eliminates 3/2

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1then u have 1 0 0 27 0 1 0 6 0 0 1 8 what is ur x,y and z?

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1but i think i made a mistake with the numbers somewhere

beketso
 2 years ago
Best ResponseYou've already chosen the best response.1should i paste the whole solution or can u figure out the mistake?

aspenfields
 2 years ago
Best ResponseYou've already chosen the best response.1i can figure it out now
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