Question

The system of equations associated with the given augmented matrix is as shown below. 106 0 14 (Type equations using x and y as the variables.)

Answer 1

Consider the system of two equations with variables x and y as follows,

$ax+by=h$

$cx+dy=k$ where a,b,c,d,h and k are constants. Then the augmented matrix corresponding to this system is given by, $\begin{bmatrix} a &b \mid h\\ c& d\mid k \\ \end{bmatrix}$ .

In the given problem the augmented matrix is given by $\begin{bmatrix} 1 &0 \mid 6\\ 0& 1\mid 4 \\ \end{bmatrix}$ . Let x and y be the varibles hence the system of equations are,

$1\times x +0\times y=6\Rightarrow x=6$

$0\times x +1\times y=4 \Rightarrow y=4$

Hence the equations are,