Is anyone good at solving systems of equations with three variables?

6x + 6y + 5z = -21
3x - y + 6z = 20
-3x +4y +2z = -11

Mahalo nui loa~

Question

Is anyone good at solving systems of equations with three variables?

6x + 6y + 5z = -21
3x - y + 6z = 20
-3x +4y +2z = -11

Mahalo nui loa~

chaise · Answer

Do you want the answer(s) or do you want to know how to solve equation like these?

anonymous · Answer

I just want to know how to solve an equation like these. The problem was just an example.

chaise · Answer

Okay - I hope you're familiar with solving equations with two variables and two equations?

6x + 6y + 5z = -21
3x - y + 6z = 20
-3x +4y +2z = -11

6x + 6y +5z =-21
3x -y + 6z = 20<-- multiply by two

6x + 6y +5z =-21
6x-2y+12z = 40

Eliminate by subtration.

6y-7z=-61

3x - y + 6z = 20
-3x +4y +2z = -11

Eliminate by addition.

3y + 8z = 9


6y-7z = -61
3y + 8z = 9

Do you know how to do the rest?

anonymous · Answer

Yes, I know how to do the rest. Thank you! :D

chaise · Answer

Just make sure you solve for each y, z and x, and not just your y and z. :)
Goodluck!