Matrices were used to solve a system of two linear equations. The final matrix is shown $\left[ \begin{array} { c c : c }
2 & - 2 & 1 \
0 & 0 & - 8
\end{array} \right]$ . Which of the following statements is true?
A) The solution is (1,-8)
B) The solution is (0,-8) .
C) There is no solution. The system is inconsistent.
D) There are infinitely many solutions. The equations are dependent.

Question

Matrices were used to solve a system of two linear equations. The final matrix is shown $\left[ \begin{array} { c c : c } 
2 & - 2 & 1 \
0 & 0 & - 8
\end{array} \right]$ . Which of the following statements is true?
A) The solution is (1,-8)
B) The solution is (0,-8) .
C) There is no solution. The system is inconsistent.
D) There are infinitely many solutions. The equations are dependent.

Quizplus · Accepted Answer

The second row of the matrix indicates that 0x + 0y = -8, which is not possible. Therefore, there is no solution and the system is inconsistent.

Matrices Were Used to Solve a System of Two Linear [2−2100−8]\left[ \begin{array} { c c : c } 2 & - 2 & 1 \\0 & 0 & - 8\end{array} \right][20​−20​1−8​]

Matrices Were Used to Solve a System of Two Linear $\left[ \begin{array} { c c : c } 2 & - 2 & 1 \\0 & 0 & - 8\end{array} \right]$