The augmented matrix will be [tex]\left[\begin{array}{ccc}2&-3&|04\\5&7&|39\end{array}\right][/tex]
What is augmented matrix for linear equations?
Augmented matrix is represented by the equation of line in each row, where there is dotted line. The left side of the dotted line represent the coefficient of the variable and the right side of the dotted line is the constant of the variable.
So according to asked question
the system of linear equation are
2x-3y=4
5x+7y=39
So these system of equation of lines have 2 linear equation, so the augmented matrix will have 2 rows.
In the coefficient matrix as there 2 variable and 2 equation the matrix will be 2x2 matrix
Therefore the augmented matrix will be [tex]\left[\begin{array}{ccc}2&-3&|04\\5&7&|39\end{array}\right][/tex].
Here first row represents the first equation and second row to second equation.
Learn more about augmented matrix
here: https://brainly.com/question/26103226
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