ausmathgenius420
New member
- Joined
- Aug 5, 2021
- Messages
- 44
Hi there,
I'm stuck on this question from my textbook I'm hoping someone can help me.
For which value of a will the following system of equations, corresponding to three planes, have solutions?
2x+y+3z=1x−3y−z=53x−2y+2z=a
I have tried using reduced row echelon form (I got 1120z=117(a−15) ) however trying to cancel the z term would be difficult with the fraction and likely not lead to the correct answer.
I've also tried cancelling z using eqn1 and eqn2 and then cancelling z for eqn 2 and 3 and using those 2 equations... that also doesn't work.
Please helppp!
PS the answer is 6
I'm stuck on this question from my textbook I'm hoping someone can help me.
For which value of a will the following system of equations, corresponding to three planes, have solutions?
2x+y+3z=1x−3y−z=53x−2y+2z=a
I have tried using reduced row echelon form (I got 1120z=117(a−15) ) however trying to cancel the z term would be difficult with the fraction and likely not lead to the correct answer.
I've also tried cancelling z using eqn1 and eqn2 and then cancelling z for eqn 2 and 3 and using those 2 equations... that also doesn't work.
Please helppp!
PS the answer is 6