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Solve using augmented matrices.\newline10x+8y=−2010x + 8y = -20\newliney=−5y = -5\newline(_____, _____)

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Q. Solve using augmented matrices.\newline10x+8y=−2010x + 8y = -20\newliney=−5y = -5\newline(_____, _____)
  1. Write System as Matrix: question_prompt: What is the solution to the system of equations using augmented matrices?
  2. Eliminate yy from First Equation: Step 11: Write the system of equations as an augmented matrix.
  3. Solve for xx: Step 22: Use the second equation to eliminate yy from the first equation. Multiply the second row by −8-8 and add it to the first row.
  4. Write Down Solution: Step 33: Now we have the matrix:\newline100∣20 01∣−5\begin{matrix} 10 & 0 & | & 20 \ 0 & 1 & | & -5 \end{matrix}\newlineDivide the first row by 1010 to solve for xx.
  5. Write Down Solution: Step 33: Now we have the matrix:\newline(100∣20 01∣−5)\begin{pmatrix} 10 & 0 & | & 20 \ 0 & 1 & | & -5 \end{pmatrix}\newlineDivide the first row by 1010 to solve for xx. Step 44: Write down the solution from the matrix.

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