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Solve using elimination.\newlinex+9y=9x + 9y = 9\newline–4x−9y=18–4x − 9y = 18\newline(_____, _____)

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Q. Solve using elimination.\newlinex+9y=9x + 9y = 9\newline–4x−9y=18–4x − 9y = 18\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newlinex+9y=9x + 9y = 9\newline–4x−9y=18–4x − 9y = 18
  2. Add Equations: Add the two equations together to eliminate yy.(x+9y)+(–4x−9y)=9+18(x + 9y) + (–4x − 9y) = 9 + 18
  3. Check Elimination: Perform the addition to see if yy is eliminated.x−4x+9y−9y=9+18x - 4x + 9y - 9y = 9 + 18−3x=27-3x = 27
  4. Solve for x: Solve for x by dividing both sides of the equation by -3＂).\(\newline\$-3x / -3 = 27 / -3\)\(\newline\)\(x = -9\)
  5. Substitute \(x\): Substitute \(x = -9\) into one of the original equations to solve for \(y\). Using the first equation: \(x + 9y = 9\) \(-9 + 9y = 9\)
  6. Isolate y Term: Add \(9\) to both sides of the equation to isolate the term with \(y\).\(\newline\)\(9y = 9 + 9\)\(\newline\)\(9y = 18\)
  7. Solve for y: Divide both sides of the equation by \(9\) to solve for y.\(\newline\)\(\frac{9y}{9} = \frac{18}{9}\)\(\newline\)\(y = 2\)

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