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

chaise · Answer

2x – y + 2z = –15
2x – 2y – z = 1 <-- multiply every term by two.

2x-y+2z=-15
4x-4y-2z=2. Add the two equations together.

6x-5y+0z=-13
Seeing as though there is 0z it can be disregarded in the equation

You are left with 6x-5y=-13.

anonymous · Answer

Thank you.