QuestionAugust 25, 2025

Write the augmented matrix that represents the system of linear equations. 5x+3y=-7 -2x-6y=-2 square square square square square square

Write the augmented matrix that represents the system of linear equations. 5x+3y=-7 -2x-6y=-2 square square square square square square
Write the augmented matrix that represents the system of linear equations.
5x+3y=-7
-2x-6y=-2
square  square  square 
square  square  square

Solution
4.0(157 votes)

Answer

\begin{bmatrix} 5 & 3 & -7 \\ -2 & -6 & -2 \end{bmatrix} Explanation 1. Identify coefficients and constants Extract coefficients from each equation: 5x + 3y = -7 gives [5, 3, -7], and -2x - 6y = -2 gives [-2, -6, -2]. 2. Form the augmented matrix Combine these into a matrix format: \[ \begin{bmatrix} 5 & 3 & -7 \\ -2 & -6 & -2 \\ \end{bmatrix} \]

Explanation

1. Identify coefficients and constants<br /> Extract coefficients from each equation: $5x + 3y = -7$ gives $[5, 3, -7]$, and $-2x - 6y = -2$ gives $[-2, -6, -2]$.<br /><br />2. Form the augmented matrix<br /> Combine these into a matrix format: <br />\[<br />\begin{bmatrix}<br />5 & 3 & -7 \\<br />-2 & -6 & -2 \\<br />\end{bmatrix}<br />\]
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