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?
[math]2x + y + 3z = 1 \\ x − 3y − z = 5\\ 3x − 2y + 2z = a[/math]
I have tried using reduced row echelon form (I got [imath]\frac{20}{11}z=\frac{7}{11}(a-15)[/imath] ) 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?
[math]2x + y + 3z = 1 \\ x − 3y − z = 5\\ 3x − 2y + 2z = a[/math]
I have tried using reduced row echelon form (I got [imath]\frac{20}{11}z=\frac{7}{11}(a-15)[/imath] ) 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