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anonymous
 one year ago
anonymous
 one year ago

This Question is Closed

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1The object is to eliminate one of the three variables and reduce the system of equations to a 2 by 2 system. After that, the next task is to eliminate one of the remaining two variables.

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1(1) x + y + z = 5 (2) x  y + 3z = 1 (3) 4x + y + z = 2

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1In equations 1 and 2, add the two equations. The y variables will add to 0. x + y + z = 5 x  y + 3z = 1  2x + 4z = 6 >**

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1In equations 2 and 3, add the two equations. The y variables there will also add to 0. (2) x  y + 3z = 1 (3) 4x + y + z = 2  5x + 4z = 3> **

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1The variable y has been eliminated. Look back at the work and see if you understand how that was done.

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1The 3 by 3 system has been transformed to a 2 by 2 system: 2x + 4z = 6 >** 5x + 4z = 3> **

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1Look at the z variables. They are both +4z. To eliminate the z variables, multiply each member of one of the two equations by (1).

Directrix
 one year ago
Best ResponseYou've already chosen the best response.12x + 4z = 6 > Mult by 1 2x 4z = 6 5x + 4z = 3> 5x + 4z = 3  3x = 3 x = 1

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1X has been found. Now, we have to find y and z.

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1Using one of the 2 variable equations, substitute 1 in for x and solve for y. 2x + 4z = 6 2*1 + 4z = 6 2 + 4z = 6 2 2  4z = 8 z = 2

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1So, x = 1 and z = 2 Go to one of the 3 by 3 equations and substitute in for x and z. Then, you can find y.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0WOW I THOUGHT IT WAS LESS THEN THISS HAHA

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1I chose the first one. (1) x + y + z = 5 1 + y 2 = 5 y 1 = 5 y = 5 + 1 y = 4 (1, 4, 2) You should copy this so that you will have an example to use in similar problems.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0HEY IM FIXEN TO GO TO BED WE WILL FINISH THIS TOMORROW PLZ

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1Also, check out this 3 by 3 online solver. http://math.bd.psu.edu/~jpp4/finitemath/3x3solver.html
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