Questions: Write the system of equations that corresponds to the following augmented matrix. [ left[beginarrayccc 2 -5 4 6 3 -6 endarrayright] ] What is the first equation? [ 2 x-5 y= ] 4

Solution Steps

The given augmented matrix is:

\[ \left[\begin{array}{cc|c} 2 & -5 & 4 \\ 6 & 3 & -6 \end{array}\right] \]

This matrix represents a system of linear equations. Each row corresponds to an equation, and the columns represent the coefficients of the variables and the constants on the right side of the equations.

Assume the variables are \(x\) and \(y\). The first two columns of the matrix represent the coefficients of these variables, and the third column represents the constants on the right side of the equations.

The first row of the matrix is:

\[ \left[\begin{array}{cc|c} 2 & -5 & 4 \end{array}\right] \]

This corresponds to the equation:

\[ 2x - 5y = 4 \]

Final Answer