Eliminate the "z" variable in the last two equations by finding opposite coefficients and adding. What is the resulting equation?

x + 3y + 2z = -16
2x - y + 2z = -15
2x - 2y - z = 1

Question

Eliminate the "z" variable in the last two equations by finding opposite coefficients and adding. What is the resulting equation?

x + 3y + 2z = -16
2x - y + 2z = -15
2x - 2y - z = 1

anonymous · Answer

Multiply 2x-2y-z by 2.  You'll get:  4x-4y-2z
Now adding the last two equations;

$$(2x-y+2z+15)+(4x-4y-2z-2)= 6x-5y+13$$

anonymous · Answer

You can also write it as: 6x-5y= -13

anonymous · Answer

*Sorry. Correction.  You'll get 4x-4y-2z=2