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Solve using augmented matrices.\newline−10x+5y=−5-10x + 5y = -5\newliney=3y = 3\newline(_,_)(\_, \_)

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Q. Solve using augmented matrices.\newline−10x+5y=−5-10x + 5y = -5\newliney=3y = 3\newline(_,_)(\_, \_)
  1. Write Equations: First, let's write the system of equations in a standard form:\newline−10x+5y=−5-10x + 5y = -5\newline0x+1y=30x + 1y = 3
  2. Form Augmented Matrix: Next, we form the augmented matrix from the equations:\newline[−10amp;5amp;−5 0amp;1amp;3]\begin{bmatrix} -10 & 5 & -5 \ 0 & 1 & 3 \end{bmatrix}
  3. Simplify First Row: We need to simplify the first row. We can divide the first row by −5-5 to make the leading coefficient of xx equal to 22: \newline\newline\begin{bmatrix}\newline22 & −1-1 & 11, (\newline\)00 & 11 & 33 \newline\end{bmatrix}\newline

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