Given a system of equations$x\; + \;2y\; + \;2z\; = \;{b_1},\;\;\;\;\;5x\; + \;y\; + \;3z\; = \;{b_2}$Which of the following is true about solutions?

Question

TuteeHUB · Accepted Answer

Whether or not a solution exists depends on the given ${b_1}$ and ${b_2}$

TuteeHUB · Answer

The system has a unique solution for any given ${b_1}$ and ${b_2}$

TuteeHUB · Answer

The system will have infinitely many solutions for any given ${b_1}$ and ${b_2}$

TuteeHUB · Answer

The system world have no solution for any value of ${b_1}$ and ${b_2}$

1.	Given a system of equations\(x\; + \;2y\; + \;2z\; = \;{b_1},\;\;\;\;\;5x\; + \;y\; + \;3z\; = \;{b_2}\)Which of the following is true about solutions?
A.	The system has a unique solution for any given \({b_1}\) and \({b_2}\)
B.	The system will have infinitely many solutions for any given \({b_1}\) and \({b_2}\)
C.	Whether or not a solution exists depends on the given \({b_1}\) and \({b_2}\)
D.	The system world have no solution for any value of \({b_1}\) and \({b_2}\)
Answer» C. Whether or not a solution exists depends on the given \({b_1}\) and \({b_2}\)

Given a system of equations\(x\; + \;2y\; + \;2z\; = \;{b_1},\;\;\;\;\;5x\; + \;y\; + \;3z\; = \;{b_2}\)Which of the following is true about solutions?