An augmented matrix that represents a system of linear equations (in variables x,y,z and w if applicable)has been reduced using Gauss-Jordan elimination.Find the solution represented by the augmented matrix. $\left[\begin{array}{lll}
1 & 0 & \vdots 5\
0 & 1 & \vdots -6\
\end{array} \right]$
A)(-6,7)
B)(-6,5)
C)(-5,6)
D)(5,-6)
E)(6,5)

Question

An augmented matrix that represents a system of linear equations (in variables x,y,z and w if applicable)has been reduced using Gauss-Jordan elimination.Find the solution represented by the augmented matrix.​ $\left[\begin{array}{lll}
1 & 0 & \vdots 5\
0 & 1 & \vdots -6\
\end{array} \right]$ ​
A)(-6,7)
B)(-6,5)
C)(-5,6)
D)(5,-6)
E)(6,5)

Quizplus · Accepted Answer

The augmented matrix represents a system of equations where the first row corresponds to $x = 5$ and the second row corresponds to $y = -6$, thus the solution is $x = 5, y = -6$, which matches choice D.

An Augmented Matrix That Represents a System of Linear Equations [10⋮501⋮−6]\left[\begin{array}{lll}1 & 0 & \vdots 5\\0 & 1 & \vdots -6\\\end{array} \right]​10​01​⋮5⋮−6​​

An Augmented Matrix That Represents a System of Linear Equations $\left[\begin{array}{lll}1 & 0 & \vdots 5\\0 & 1 & \vdots -6\\\end{array} \right]$