SOLUTION: For a system of three equations, which of the following are true? a) for the system to have no solution, two of the three solution planes must be parallel b) for the system to

Algebra.Com
Question 531055: For a system of three equations, which of the following are true?
a) for the system to have no solution, two of the three solution planes must be parallel
b) for the system to have infinitely many solutions, two of the solution planes must intersect
c) for the system to have infinitely many solutions, two of the solutions planes must be identical
d) for the system to have no solution, two of the three solution planes must intersect

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
For a system of three equations, which of the following are true?
a) for the system to have no solution, two of the three solution planes must be parallel:::false
----------------------------
b) for the system to have infinitely many solutions, two of the solution planes must intersect:::true
----------------------------
c) for the system to have infinitely many solutions, two of the solutions planes must be identical:::false
----------------------------
d) for the system to have no solution, two of the three solution planes must intersect:::false
=========================
Cheers,
Stan H.
===================================

RELATED QUESTIONS

I came up with D. After computing the determinants required by Cramer's Rule for a... (answered by Alan3354)
how do you make a system of three linear equations in three variables for which the... (answered by Fombitz)
Let K be a real number. Consider the following system of equations: x - y + 3z =... (answered by ikleyn)
There is no solution to the following system of equations. x < 3 y > 3 True... (answered by tommyt3rd)
Two systems of equations are given below. For each system, choose the best description of (answered by Fombitz)
Which is a solution for the following system of equations? y = x^2 y=-4x +... (answered by stanbon)
Which of the following statements is true about the given system of linear equations? –x (answered by mananth)
After computing the determinants required by Cramer's Rule for a system of three... (answered by ikleyn)
Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three... (answered by Edwin McCravy)