Level:
Project ID:
2000019003
Accepted:
0
Clonable:
0
Easy:
0
Consider a linear system of three equations with three unknowns \(x\), \(y\), \(z\), and with the column of the right sides:
\[
\left (\array{
5\cr
17\cr
12} \right )
\]
The determinants of the following two matrices were used to solve the system by Cramer's rule:
\[
\left (\array{
2& 5& 1\cr
1& 17& -3\cr
1& 12& -2} \right ),~
\left (\array{
2& -1& 5\cr
1& 2& 17\cr
1& 1& 12} \right )
\]
Which of the following systems could be solved in a specified way?
\[\begin{aligned}
2x- y +z= 5 & &
\\x +2y-3 z = 17 & &
\\x + y -2z= 12 & &
\end{aligned}\]
\[\begin{aligned}
2x+5 y +z= -1 & &
\\x +17y-3 z = 2& &
\\x +12 y -2z= 1 & &
\end{aligned}\]
\[\begin{aligned}
2x- y +z= -5 & &
\\x +2y-3 z = -17 & &
\\ x+y -2z= -12& &
\end{aligned}\]
\[\begin{aligned}
2x+ y-z = 5 & &
\\x-2y + 3z = 17 & &
\\x - y +2z= 12 & &
\end{aligned}\]