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Solve using augmented matrices.\newliney=4y = 4\newline4x−8y=84x − 8y = 8\newline(_____, _____)

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Q. Solve using augmented matrices.\newliney=4y = 4\newline4x−8y=84x − 8y = 8\newline(_____, _____)
  1. Write System Matrix: question_prompt: What are the coordinates of the solution to the system of equations?\newline Step 11: Write down the system of equations as an augmented matrix.\newline[01∣44−8∣8] \begin{bmatrix} 0 & 1 & | & 4 \\ 4 & -8 & | & 8 \end{bmatrix}
  2. Replace Second Equation: Step 22: Since the first equation is already solved for yy, we can use it to replace the second equation's yy with 44.4x−8(4)=84x - 8(4) = 8
  3. Simplify Second Equation: Step 33: Simplify the second equation. 4x−32=84x - 32 = 8
  4. Add 3232: Step 44: Add 3232 to both sides of the equation.\newline4x=404x = 40
  5. Divide by 44: Step 55: Divide both sides by 44 to solve for xx.x=10x = 10
  6. Use First Equation: Step 66: Use the value of yy from the first equation.\newliney=4y = 4
  7. Write Ordered Pair: Step 77: Write the solution as an ordered pair. (10,4)(10, 4)

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