Math  /  Algebra

QuestionWrite a system of linear equations represented by the augmented matrix. (Use xx and yy as your variables, each representing the columns in turn. Write the equations for the system in the same order as they appear in the augmented matrix. Do not perform any row operations.) [67432]\left[\begin{array}{rr:r} 6 & 7 & 4 \\ 3 & -2 & \vdots \end{array}\right] \square \square

Studdy Solution
Translate the second row of the matrix into a linear equation. The second row is:
\[ \begin{bmatrix} 3 & -2 & | & 0 \end{bmatrix}$
This corresponds to the equation:
3x2y=0 3x - 2y = 0
The system of linear equations represented by the augmented matrix is:
\[ \begin{align*} 6x + 7y &= 4 \\ 3x - 2y &= 0 \end{align*}$

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